Compute
(a) lim x → 4 x + 5 − 3 x − 4 {\displaystyle \lim _{x\rightarrow 4}{\frac {{\sqrt {x+5}}-3}{x-4}}}
(b) lim x → 0 sin 2 x 3 x {\displaystyle \lim _{x\rightarrow 0}{\frac {\sin ^{2}x}{3x}}}
(c) lim x → − ∞ x 2 + 2 2 x − 1 {\displaystyle \lim _{x\rightarrow -\infty }{\frac {\sqrt {x^{2}+2}}{2x-1}}}
Solution
Detailed Solution
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