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This document from millersville university's department of mathematics provides calculus students with practice evaluating limits using l'hopital's rule. 10 examples, ranging from basic trigonometric functions to integrals.
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Millersville University
Department of Mathematics
MATH 161, Calculus I
Please use l’Hˆopital’s rule where appropriate to evaluate the following limits.
1 − sin x
1 + cos 2x
x − 1
ln x − sin πx
x tan
x
( 1
x
x
)
(x
2 − 2 x + 1)
x− 1
x
1 1 −x
(1 + 2x)
1 2 ln x
x
2 e
−x
∫ (^2) x
x
t
dt
x ln x
∫ (^) x
1
ln t dt
