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Sir, i just want to know that why zero raise to infinity is zero and why one raise to infinity is indetermined?

Profile image of Viral A. Parmar
15 Years agoGrade 12
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2 Answers

Profile image of Askiitians_Expert Yagyadutt
ApprovedApproved Tutor Answer15 Years ago

Hello viral !

 

Thats a good question .!

 

Well zero is a quantity which actually nullify the effect of any number or quantity that gets multiplied with it ..

 

0*a=0

 

So 0^infinte means...u r multiply 0 by infinte times ...hence everytime u multiply u will get zero ..:) {0X0X0X0X0.......X0=0}

 

...Now in case of  1^infinty ..u can just say that it should be 1 ..because u r multiplying 1 by infinite times..But NO...:)

 

Why because in case of limit problem ..(1)^infinty ..is some what considered as (a)^infinity ..where a is very close to 1 ..not exactly one..So when u multiply a by infinte times..u gona get a big number ..specifically it would large enough to determine..hence called as "Undetermined"

 

Regards

 

Yagya

 

Profile image of Viral A. Parmar
15 Years ago

thank u so much