Q 373 limx→0ex-e-xsin x - Maths - Limits and Derivatives

Question

Q 373 lim x → 0 e x - e - x sin   x

Aarushi Mishra · Accepted Answer

limx→0ex-e-xsin x=limx→0ex-1exsin x=limx→0e2x-1exsin x=limx→01ex×e2x-1sin x=limx→01ex×limx→0e2x-1sin x=1×limx→0e2x-1sin x=limx→0e2x-1xsin xx=limx→0e2x-1xsin xx=limx→02e2x-12xsin xx=2limx→0e2x-12xlimx→0sin xxUsing limx→0sin xx=1 and limx→0ex-1x=1=2

Q.373. lim x → 0 e x - e - x sin x

Q.373. $\lim_{x \to 0} \frac{e^{x} - e^{- x}}{\sin x}$