\lim_{x \to \infty} \sqrt{\frac{(x+\sin x)}{(x-\cos x)}} is equal to

NIMCET 2011 Question Paper with solutions

Question : 44 of 120

Marks: +1, -0

\lim ↙{x → ∞} √{\;{(x+\sin x)}/{(x-\cos x)}}

is equal to

Solution:

\lim ↙{x → ∞} √{ {x+\sin x}/{x-\cos x}}=\lim ↙{x → ∞} √{ {1+\sin x}/{1- {\cos x}/{x}}}=√{ {1+0}/{1-0}}=1

Go to Question:

Prev Question

Next Question