`lim_(xrarr1)(x^(m)-1)/(x^(n)-1)` is equal toA. 1B. `m/n`C. `-m/n`D. ` – InterviewSolution

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1.	`lim_(xrarr1)(x^(m)-1)/(x^(n)-1)` is equal toA. 1B. `m/n`C. `-m/n`D. `m^(2)/n^(2)`
Answer» Correct Answer - b Given, `lim_(xto1)(x^(m)-1)/(x^(n)-1) = lim_(xto1)((x^(m)-1)/(x-1))/((x^(n)-1)/(x-1))` `(m(1)^(m-1))/(n(1)^(n-1)) = m/n` `[therefore (x^(n)-a^(n))/(x-a)=na^(n-1)]`

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