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(lim)(x->-1)(x^(10)+x^5+1)/(x-1)...

`(lim)_(x->-1)(x^(10)+x^5+1)/(x-1)`

Text Solution

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Given `(lim)_(x->-1)(x^(10)+x^5+1)/(x-1)`
`=((-1)^(10)+(-1)^5+1)/((-1)-1)`
`=(1-1+1)/(-2)`
since `{(-1^n,=1 "when n is even"),(-1^n,=-1 "when n is odd"):}`
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