Compute the following limits using L'Hospital's rule if appropriate. limx-0 cot(7x)sin(2x)

Question

Compute the following limits using L'Hospital's rule if appropriate. limx->0 cot(7x)sin(2x)

Paul M. · Accepted Answer

The limit required is lim as x -> 0 of sin(2x)/tan(7x).L'Hospital's rule gives lim x -> 0 of 2 cos(2x)/7 sec2(7x) = 2/7

Compute the following limits using L'Hospital's rule if appropriate. limx->0 cot(7x)sin(2x)