Question

Asked Feb 8, 2019

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Find the limit using l’Hospital’s rule

(4x-sin(4x))/(4x-tan(4x))

Step 1

The limit to be evaluated is as shown on the white board.

Step 2

Since the limit of numerator and denominator both achieves a value of 0 as shown on the white board, the overall limit is of the form 0/0. Hence, let's apply L'Hospital rule.

Step 3

The L'Hospital's rule is as shown on the white board.

f'(x) = 4−4cos4x; g'(x) = 4−4sec24x

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