Use L'Hospital to determine the following limit (where
t
\displaystyle {t}
t
is regarded as a constant):
lim
ω
→
13
cos
(
ω
t
)
−
cos
(
13
t
)
169
−
ω
2
\displaystyle \lim_{{\omega\to{13}}}\frac{{{\cos{{\left(\omega{t}\right)}}}-{\cos{{\left({13}{t}\right)}}}}}{{{169}-\omega^{{2}}}}
ω
→
13
lim
169
−
ω
2
cos
(
ω
t
)
−
cos
(
13
t
)
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