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Mathematics
Mathematics
Problem
Evaluate the following limits:
lim
x
→
0
a
tan
x
−
a
sin
x
tan
x
−
sin
x
,
a
>
0
\lim_{x \rightarrow 0} \frac{a^{\tan x} - a^{\sin x}}{\tan x - \sin x}, a > 0
x
→
0
lim
tan
x
−
sin
x
a
t
a
n
x
−
a
s
i
n
x
,
a
>
0
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