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2
2006 Calculus #2: Trigonometric Limit in e
2006 Calculus #2: Trigonometric Limit in e
Source:
July 30, 2012
calculus
limit
trigonometry
Problem Statement
Compute
lim
x
→
0
e
x
cos
x
−
1
−
x
sin
(
x
2
)
.
\displaystyle\lim_{x\to 0}\dfrac{e^{x\cos x}-1-x}{\sin(x^2)}.
x
→
0
lim
sin
(
x
2
)
e
x
c
o
s
x
−
1
−
x
.
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