We want to compute the following limit a) As a approaches 5 we get an indeterminate form of the type O 10⁰⁰ O 0/0 O∞-∞ b) We want to simplify the quotient HINT: Use trigonometric identities. Answer: ± # T a b sin (2(x-5)) sin(x-5) lal ab ∞0/∞ O 0x∞ O 00 sin(2(x - 5)) lim x 5 sin(x - 5) for x5, so that it no longer gives an indeterminate form at x = 5. af va ~> 8 E 4
We want to compute the following limit a) As a approaches 5 we get an indeterminate form of the type O 10⁰⁰ O 0/0 O∞-∞ b) We want to simplify the quotient HINT: Use trigonometric identities. Answer: ± # T a b sin (2(x-5)) sin(x-5) lal ab ∞0/∞ O 0x∞ O 00 sin(2(x - 5)) lim x 5 sin(x - 5) for x5, so that it no longer gives an indeterminate form at x = 5. af va ~> 8 E 4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 47E
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Transcribed Image Text:We want to compute the following limit
a) As x approaches 5 we get an indeterminate form of the type
O 1% O 0/0 O∞-∞
b) We want to simplify the quotient
HINT: Use trigonometric identities.
Answer:
±
# T
a
b
sin (2(x-5))
sin(x-5)
lal
ab
∞0/∞ O 0x∞ 00⁰
sin (2(x - 5))
lim
x→5 sin(x - 5)
for x5, so that it no longer gives an indeterminate form at x = 5.
af
va
~>
8
E
4
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