Question

Question #db211

Answer 1

Please refer to the Explanation.

Explanation:

Prerequisite : `lim_(h to 0) (a^h-1)/h=lna, a >0`.

Now, in The Reqd. Lim. `L=lim_(y to 1)(x^(1-y)-1)/(1-y)`, let us

subst. `1-y=h," so that, as "y to 1; h to 0`.

`:. L=lim_(h to 0)(x^h-1)/h`,

`rArr L=lnx`.