Compute
(a) lim x → ∞ x − 1 + x 1 + 1 + x {\displaystyle \lim _{x\rightarrow \infty }{\frac {x^{-1}+x}{1+{\sqrt {1+x}}}}}
(b) lim x → 0 sin x cos x − 1 {\displaystyle \lim _{x\rightarrow 0}{\frac {\sin x}{\cos x-1}}}
(c) lim x → 1 x 3 − 1 x 10 − 1 {\displaystyle \lim _{x\rightarrow 1}{\frac {x^{3}-1}{x^{10}-1}}}
Solution
Detailed Solution
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