Calculus I Assignment Quiz 5 Solution: Limits of Functions, Exercises of Calculus

The solution to problem 5 of the calculus i assignment quiz, which involves finding the limit of a function using the definition of a limit. The problem statement includes the function f(x), the limit as x approaches -0.2, and various algebraic operations.

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

juma.khan
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Name: SOLUTION Registration Number: SOLUTION
Assignment Quiz No. 5
Calculus-I Section-1
=====================================================================
Problem: If ,
1
)(
x
xf find h
xfhxf
Lim
h
)()(
0
at .2
x
Solution:
Let h
xfhxf
Liml h
)()(
0
hxhx
Liml h
11
0
)(
)(1
0hxx
hxx
h
Lim
h
)(
1
0hxx
Lim
h
2
1
x
2
)2(
1
2
xat
4
1
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Download Calculus I Assignment Quiz 5 Solution: Limits of Functions and more Exercises Calculus in PDF only on Docsity!

Name: SOLUTION Registration Number: SOLUTION

Assignment Quiz No. 5

Calculus-I Section-

Problem: If ,

x

f x  find

h

f x h f x Lim h

0

at x  2.

Solution:

Let

h

f x h f x l Lim h

0

h

x h x l Lim h

0

(^0) xx h

x x h

h

Lim h

(^0) x x h

Lim h

2

x

2

  atx

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