Evaluate the following limits: a) lim x1x2+9 2 b) lim 4x x-01+e-x c) lim x-0 √x+1-1 x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the following limits:
a) lim
b) lim
c) lim
x→0
e)
X-1x2+9
2
d) lim
f)
g)
X-01+e-x
4x
lim
t-0
√x+1-1
x→1 x-4
lim
h→0
X
x4+7x+2
lim
x-0 1-cos x
sin ²(x)
√1+t-√1-t
t
(x+h)²-x²
h
Transcribed Image Text:Evaluate the following limits: a) lim b) lim c) lim x→0 e) X-1x2+9 2 d) lim f) g) X-01+e-x 4x lim t-0 √x+1-1 x→1 x-4 lim h→0 X x4+7x+2 lim x-0 1-cos x sin ²(x) √1+t-√1-t t (x+h)²-x² h
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