1 2 Determine the following limits: X-9 .1.1 lim x+3 X-3 .1.2 lim X-0 3.2.1 using factorization. √1+4x-1 3x Differentiate the following with respect to X: 1 y=-- X using L'Hospital's rule. - cos² (3x). .2.2__y=(x² −1)(x² −2x+1) using the product rule.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1
2
Determine the following limits:
X-9
.1.1 lim
X3 X-3
.1.2 lim
X-0
1.2.1
using factorization.
√1+4x-1
3x
-
Differentiate the following with respect to X:
1
y=--
X
cos² (3x).
.2.2__y=(x² − 1)(x² −2x+1) using the product rule.
using L'Hospital's rule.
Transcribed Image Text:1 2 Determine the following limits: X-9 .1.1 lim X3 X-3 .1.2 lim X-0 1.2.1 using factorization. √1+4x-1 3x - Differentiate the following with respect to X: 1 y=-- X cos² (3x). .2.2__y=(x² − 1)(x² −2x+1) using the product rule. using L'Hospital's rule.
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