Assume that if lim f(x) = L, then lim cos (f(x)) = cos (L). Evaluate the following limits. x→a x→a (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) (a) lim cos x→0 (b) lim 5x (5) 1 – 5x x→π/2 X (d) lim cos (x) x-0 1 (c) lim (x³ cos (1 − x)) : = x→1 = 1-x5 - cos (x5) =
Assume that if lim f(x) = L, then lim cos (f(x)) = cos (L). Evaluate the following limits. x→a x→a (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) (a) lim cos x→0 (b) lim 5x (5) 1 – 5x x→π/2 X (d) lim cos (x) x-0 1 (c) lim (x³ cos (1 − x)) : = x→1 = 1-x5 - cos (x5) =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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Question
![Assume that if lim ƒ(x) = L, then lim cos (f(x)) = cos (L). Evaluate the following limits.
x→a
x→a
(Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.)
(a) lim cos
x →0
5x
(₁5XX)
1 – 5x
cos (x)
(b) lim
x→π/2 X
=
(d) lim
(c) lim (x³ cos (1 − x))
=
x→1
1- x5
x→0 1 − cos (x5)
=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06301494-33fe-453a-9074-8ad1f3cf4378%2F0e2012e1-50b4-4e55-907e-79fe8b5228b6%2Ftevpfog_processed.png&w=3840&q=75)
Transcribed Image Text:Assume that if lim ƒ(x) = L, then lim cos (f(x)) = cos (L). Evaluate the following limits.
x→a
x→a
(Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.)
(a) lim cos
x →0
5x
(₁5XX)
1 – 5x
cos (x)
(b) lim
x→π/2 X
=
(d) lim
(c) lim (x³ cos (1 − x))
=
x→1
1- x5
x→0 1 − cos (x5)
=
=
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