You are watching: Infinity to the power of zero

What do you get?

**i say 1 and also 0, respectively.anything to the 0 power is 1.0 x something = 0.Right/wrong?**

0^inf, or 0*0*0*0*0... Is certainly 0.inf^0 has actually nothing to execute with multiply anything times 0. It"s 1 through definition.Go back to the sixth grade.

Infinity is not a number so "Zero come the strength infinity" is a nonsensical statement and also has no answer. It"s favor asking "What carry out you get if you attract a four-sided triangle?" or "What happens as soon as an unstoppable pressure meets one immovable object?"

0^inf, or 0*0*0*0*0... Is certainly 0.inf^0 has actually nothing to perform with multiply anything time 0. It"s 1 by definition.Go earlier to the sixth grade.

0^inf, or 0*0*0*0*0... Is undoubtedly 0.inf^0 has actually nothing to carry out with multiply anything times 0. It"s 1 through definition.Go earlier to the 6th grade.

You"re right about 0^inf constantly being 0, however inf^0 is not always 1.Consider (2^n)^(1/n) together n->infinity.It converges come 2.

0^inf, or 0*0*0*0*0... Is without doubt 0.inf^0 has nothing to do with multiplying anything time 0. It"s 1 by definition.Go earlier to the sixth grade.

You"re right about 0^inf always being 0, but inf^0 is not constantly 1.Consider (2^n)^(1/n) together n->infinity.It converges come 2.

Oh, currently I remember. We actually had actually a 3-day argument around this in mine calc class. It was a BEAUTIFUL time killer. I think we never actually reconciled the differences in between the an interpretation and the limits.

0^inf, or 0*0*0*0*0... Is indeed 0.inf^0 has nothing to perform with multiplying anything time 0. It"s 1 by definition.Go back to the 6th grade.

You"re right around 0^inf always being 0, yet inf^0 is not constantly 1.Consider (2^n)^(1/n) together n->infinity.It converges come 2.

Oh, currently I remember. Us actually had actually a 3-day argument about this in my calc class. It was a BEAUTIFUL time killer. I think we never actually reconciled the differences between the definition and the limits.

See more: What Does The Term Bite Me Mean Ing And Usage Of "Bite Me", Meaning And Usage Of Bite Me

0^inf, or 0*0*0*0*0... Is certainly 0.inf^0 has nothing to do with multiply anything time 0. It"s 1 by definition.Go back to the sixth grade.

infinity is no a number...it"s a concept. In evaluation it exists in limit kind only (or much more rigorously, as the supremum that the reals). Hover in to complicated #s (and beyond) and infinity becomes an even more fuzzy idea.Anyway...inf^0 in the limit can be ANYTHING.Here:lim x->inf that exp(A*x)^(1/x).= lim x->inf that exp(1/x * ln(exp(A*x))= lim x->inf that exp(A).= exp(A).Now...A deserve to be any real number, so we can accomplish any confident real number in this way (stick a negative sign the end front come hit any negative real #). Together A->-infinity, the over limit goes to 0. Edit: the over argument is in no means rigorous but it illustrates the pointalso, 0^inf is indeed 0. (at least in the real# system)

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0^inf, or 0*0*0*0*0... Is certainly 0.inf^0 has actually nothing to execute with multiply anything times 0. It"s 1 through definition.Go back to the sixth grade.

Infinity is not a number so "Zero come the strength infinity" is a nonsensical statement and also has no answer. It"s favor asking "What carry out you get if you attract a four-sided triangle?" or "What happens as soon as an unstoppable pressure meets one immovable object?"

0^inf, or 0*0*0*0*0... Is certainly 0.inf^0 has actually nothing to perform with multiply anything time 0. It"s 1 by definition.Go earlier to the sixth grade.

0^inf, or 0*0*0*0*0... Is undoubtedly 0.inf^0 has actually nothing to carry out with multiply anything times 0. It"s 1 through definition.Go earlier to the 6th grade.

You"re right about 0^inf constantly being 0, however inf^0 is not always 1.Consider (2^n)^(1/n) together n->infinity.It converges come 2.

0^inf, or 0*0*0*0*0... Is without doubt 0.inf^0 has nothing to do with multiplying anything time 0. It"s 1 by definition.Go earlier to the sixth grade.

You"re right about 0^inf always being 0, but inf^0 is not constantly 1.Consider (2^n)^(1/n) together n->infinity.It converges come 2.

Oh, currently I remember. We actually had actually a 3-day argument around this in mine calc class. It was a BEAUTIFUL time killer. I think we never actually reconciled the differences in between the an interpretation and the limits.

0^inf, or 0*0*0*0*0... Is indeed 0.inf^0 has nothing to perform with multiplying anything time 0. It"s 1 by definition.Go back to the 6th grade.

You"re right around 0^inf always being 0, yet inf^0 is not constantly 1.Consider (2^n)^(1/n) together n->infinity.It converges come 2.

Oh, currently I remember. Us actually had actually a 3-day argument about this in my calc class. It was a BEAUTIFUL time killer. I think we never actually reconciled the differences between the definition and the limits.

See more: What Does The Term Bite Me Mean Ing And Usage Of "Bite Me", Meaning And Usage Of Bite Me

0^inf, or 0*0*0*0*0... Is certainly 0.inf^0 has nothing to do with multiply anything time 0. It"s 1 by definition.Go back to the sixth grade.

infinity is no a number...it"s a concept. In evaluation it exists in limit kind only (or much more rigorously, as the supremum that the reals). Hover in to complicated #s (and beyond) and infinity becomes an even more fuzzy idea.Anyway...inf^0 in the limit can be ANYTHING.Here:lim x->inf that exp(A*x)^(1/x).= lim x->inf that exp(1/x * ln(exp(A*x))= lim x->inf that exp(A).= exp(A).Now...A deserve to be any real number, so we can accomplish any confident real number in this way (stick a negative sign the end front come hit any negative real #). Together A->-infinity, the over limit goes to 0. Edit: the over argument is in no means rigorous but it illustrates the pointalso, 0^inf is indeed 0. (at least in the real# system)

Hardware and an innovation CPUs and also Overclocking Motherboards graphic Cards AMD Nvidia Memory and also Storage display screens Power Supplies situations & Cooling laptops Networking apple Laptops and Desktops Peripherals & materials Headsets and Headphones Mice key-boards Computer structure Pre-Built Desktops Barebones Raspberry Pi and solitary Board computers Home theatre PCsConsumer electronic devices Digital Cameras and video clip Console Gaming Mobile gadgets Audio materials TVsSoftware home windows Apple Open source Operating systems Programming PC gamings Distributed computing SecurityShopping hot Deals and also Giveaways black color Friday 2016 black color Friday 2015 Archives black color Friday 2012 black Friday 2013 black Friday 2014 black color FridayCommunity ar Terms and also ConditionsSocial OT discussion Club Politics and News questioning a Technical skilled The Garage Health and also Fitness Home and GardenForum problems Forum Issues and FeedbackModeration Resources