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October 23, 2014

October 23, 2014

Posted by **mo** on Wednesday, November 7, 2007 at 10:08am.

lim ((x^10)-1)/(x-1)

x-->0

is the answer is 1 ???

- math -
**bobpursley**, Wednesday, November 7, 2007 at 10:43amYes, the limit is 1. The problem for this function is when x>>1

- math -
**mo**, Wednesday, November 7, 2007 at 11:05amthanks

- math -
**mo**, Wednesday, November 7, 2007 at 11:06amif it is 1 how would be the answer ???

- math -
**Reiny**, Wednesday, November 7, 2007 at 11:36amThere is no problem with

lim ((x^10)-1)/(x-1)

x-->0

because you can substitute x=0 and get 1 as bobpursley said.

You probably meant

lim ((x^10 - 1)/(x-1)

x-->1

In that case (x^10 - 1) ÷ (x-1)

= x^9 + x^8 + ... + x + 1

and you have

lim x^9 + x^8 + ... + x + 1

x-->1

= 10

- math -
**Jake**, Wednesday, November 7, 2007 at 1:31pmWhat do you mean by "how would be the answer"? The answer to this problem is 1.

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