Calculate the limits using L' Hopitals rule?

Question

1.)  Lim x-> 1   x-1/ e^ x-1 -1

 

2.)   Lim x-> 0  Sinx / x + sinx

Answer 1

1)

Apply the L' Hopitals rule lim[f(x)/g(x)] = lim[f'(x)/g'(x)].

Evaluate the limit.

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Answer 2

2)

Apply the L' Hopitals rule lim[f(x)/g(x)] = lim[f'(x)/g'(x)].

Evaluate the limit.

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