Problem1.. Evaluate the limit. 1. lim x→-1 2. lim x → 5 3. lim x-16 2 x +2x+1 x+1 2x²-9x-5 2 x-25 √x-4 x-16

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.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
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Related questions
Question
Problem2.
2
1
Evaluate lim x cos x
x 0
Problem3.
Use algebraic manipulations to evaluate the limits. Use the rules lim
x 0
lim
x →0
1-cos x
X
Note that lim
x →0
1. lim
h→0
Compute the limit.
2. lim
x 0
3. lim
x → 0
4. lim
t➡0
5. lim
t-0
= 0 whenever appropriate.
6. lim
0-0
7. lim
h→0
X
sin x
sin 9h
h
sin 3x sin 2x
x sin 5x
tan x
X
Vt +9 sin t
t
tan 4t
t sect
is also 1, and that lim
x → 0
sec 0-1
0
1-cos h
2
h
sin (ax)
ax
= lim
ax → 0
sin(ax)
ax
sin x
X
1 and
since ax→ 0 as x → 0.
Transcribed Image Text:Problem2. 2 1 Evaluate lim x cos x x 0 Problem3. Use algebraic manipulations to evaluate the limits. Use the rules lim x 0 lim x →0 1-cos x X Note that lim x →0 1. lim h→0 Compute the limit. 2. lim x 0 3. lim x → 0 4. lim t➡0 5. lim t-0 = 0 whenever appropriate. 6. lim 0-0 7. lim h→0 X sin x sin 9h h sin 3x sin 2x x sin 5x tan x X Vt +9 sin t t tan 4t t sect is also 1, and that lim x → 0 sec 0-1 0 1-cos h 2 h sin (ax) ax = lim ax → 0 sin(ax) ax sin x X 1 and since ax→ 0 as x → 0.
Problem1..
Evaluate the limit.
1. lim
x→-1
2. lim
x → 5
3. lim
x→ 16
5. lim
2
2x-9x-5
2
x +2x+1
x+1
4. lim (-
x→ 4
x→π/4
2
x-25
√√x-4
x-16
1
√x-2
4
x-4
sin x-cos x
tan x-1
Transcribed Image Text:Problem1.. Evaluate the limit. 1. lim x→-1 2. lim x → 5 3. lim x→ 16 5. lim 2 2x-9x-5 2 x +2x+1 x+1 4. lim (- x→ 4 x→π/4 2 x-25 √√x-4 x-16 1 √x-2 4 x-4 sin x-cos x tan x-1
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