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Evaluate: lim(x->1) (x^15-1)/(x^10-1)...

Evaluate: `lim_(x->1) (x^15-1)/(x^10-1)`

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numerator,`x^15 - 1`
`(x^5)^3 - 1`
`= (x^5-1)[(x^5)^2 + x^5 + 1]`
`= (x^5 - 1)[x^10 + x^5 +1]`
denominator,. `x^10 - 1 = (x^5)^2 - 1`
`= (x^5 - 1)(x^5+1)`
`lim_(x->1) ((x^5 -1){x^10 + x^5 +1})/((x^5 - 1)(x^5+1))`
`lim_(x->1) (x^10 + x^5 +1)/x^5`
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