Question

lim
x→0
(e^(2x )− e^(−2x )− 4x)/
(x − sin x)

Answer 1

you can use LH rule here

Answer 2

what do u get if you differentiate numerator and denominator separately ?

Answer 3

2e^2x +2e^-2x - 4/ 1-cosx

Answer 4

correct!
so do you still get 0/0 form ?

Answer 5

if yes, tou can apply L'H rule again :)