Evaluate the following limits.
(a) Find lim x → 2 x 2 + 12 − 4 x − 2 {\displaystyle \lim _{x\rightarrow 2}{\frac {{\sqrt {x^{2}+12}}-4}{x-2}}}
(b) Find lim x → 0 sin ( 3 x ) sin ( 7 x ) {\displaystyle \lim _{x\rightarrow 0}{\frac {\sin(3x)}{\sin(7x)}}}
(c) Evaluate lim x → 0 x 2 cos ( 1 x ) {\displaystyle \lim _{x\rightarrow 0}x^{2}\cos {\bigg (}{\frac {1}{x}}{\bigg )}}
Solution
Detailed Solution
Return to Sample Exam
