7) Use (5-ε) definition of limit to 2) lim x² + x - 2 = 3 b) lim (x+1)³=1 X→ 1 X-1 x4+4 x70 3 prove: c) lim x4 +4 = 2 d) lim x ³sin (cx) = 0 X->2 x+2 e) lim, √x = 0 x-70 x-70 f) lim Sinx =☑ X-700 ха

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
7) Use (5-ε) definition of limit to
2) lim x² + x - 2 = 3 b) lim (x+1)³=1
X→ 1
X-1
x4+4
x70
3
prove:
c) lim x4 +4 = 2 d) lim x ³sin (cx) = 0
X->2
x+2
e) lim, √x = 0
x-70
x-70
f) lim
Sinx
=☑
X-700
ха
Transcribed Image Text:7) Use (5-ε) definition of limit to 2) lim x² + x - 2 = 3 b) lim (x+1)³=1 X→ 1 X-1 x4+4 x70 3 prove: c) lim x4 +4 = 2 d) lim x ³sin (cx) = 0 X->2 x+2 e) lim, √x = 0 x-70 x-70 f) lim Sinx =☑ X-700 ха
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