Question

Limit Question

Answer 1

\[\large \bf \lim_{x \rightarrow 0}\frac{e^{bx}-e^{ax}}{x}\]

Answer 2

Without using L HOSPITAL'S RULE !

Answer 3

My work :-
\[\large \bf \lim_{x \rightarrow 0}\frac{e^{bx}(1-e^{x(a-b)})}{x}\]
then multiply and divide by (a-b),