Thursday

July 31, 2014

July 31, 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.

**Related Questions**

Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...

Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...

calc - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- ...

Calc Please Help - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/...

Calculus - Below are the 5 problems which I had trouble in. I can't seem to get ...

Pre-cal - Please determine the following limits if they exist. If the limit does...

calculus again - Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily ...

Calculus..more help! - I have a question relating to limits that I solved lim(x...

calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...

Calculus - Find the following limits algebraically or explain why they don’t ...