Question

(ii) Lt{(1+x)^n – 1}/x.
x →0.
​

Answer 1

When x => 0

(ß + x)^n = ß + nx

Similarly;

Lim {(1 + x)^n - 1}/x

x=>0

= (1 + nx - 1)/x

= nx/x

= n

Thus, the result is equal to n