find-lim-x-0-1-sinx-x-1-x-sinx-

Question Number 30553 by abdo imad last updated on 23/Feb/18

f i n d {l i m}_{x \to 0} {(1 + s i n x)}^{x} - {(1 + x)}^{s i n x} .

Commented by Cheyboy last updated on 23/Feb/18

b y d i r e c t s u b t i t u t i o n

\lim_{x \to 0} {(1 + 0)}^{0} - {(1 + 0)}^{0} = 0

Commented by abdo imad last updated on 23/Feb/18

f o r g i v e t h e Q i s f i n d {l i m}_{x \to 0} \frac{{(1 + s i n x)}^{x} - {(1 + x)}^{s i n x}}{x} .

Commented by rahul 19 last updated on 23/Feb/18

simply use hospital rule .