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Limits 2-Calculus-Assignment, Exercises of Calculus

University of AllahabadCalculus

Prof. Gangesh Kapadia assigned this task at Allahabad University for Calculus course. It includes: Graph, Existence, Limit, Continuous, Function, Domain, Range, Initial

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

juma.khan
juma.khan 🇮🇳

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Name: SOLUTION Registration Number: SOLUTION
Assignment Quiz No. 5
Calculus-I Section-4
=====================================================================
Problem: If
,13)( xxf
find
h
xfhxf
Lim
h
)()(
0
at
.0x
Solution:
Let
h
xfhxf
Liml h
)()(
0
h
xhx
Liml h
13133
0
13133
)13()133(1
0xhx
xhx
h
Lim
h
13133
3
0xhx
Lim
h
132
3
x
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Name: SOLUTION Registration Number: SOLUTION

Assignment Quiz No. 5

Calculus-I Section-

Problem: If f ( x ) 3 x  1 ,find

h

f x h f x Lim h

0

at x  0.

Solution:

Let

h

f x h f x l Lim h

0

h

x h x l Lim h

0

(^0) x h x

x h x h

Lim h

(^0) x h x

Lim h

x

2

atx

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