Math / Calculus

Questionp/student/3440461/25280000/44981e4a638756ec9b307cc86ca08ef3
L'Hopital's Rule Score: 0/1 Penalty: 0.25 off
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Evaluate $\lim _{x \rightarrow 3} \frac{4 \cos (3 x-9)+2 x}{5 x^{2}+5}$ and write your answer in simplest form.
Answer Attempt 1 out of 2 $\square$ Submit Answer DNE

Studdy Solution
Since the limit does not result in an indeterminate form, evaluate the limit directly:
$\lim _{x \rightarrow 3} \frac{4 \cos (3x-9)+2x}{5x^{2}+5} = \frac{10}{50} = \frac{1}{5}$
The value of the limit is:
$\boxed{\frac{1}{5}}$

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