Graphs 3-Calculus-Quiz Solution, Exercises of Calculus

Prof. Maitreya Sawhney took quiz for Calculus during class at Chennai Mathematical Institute. This is solution he provided latter. It includes: Average, Speed, Time, Interval, Instantaneous, Limit, Domain, Range, Continuous

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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Name: SOLUTION Registration Number: SOLUTION
Quiz No. 5
Calculus-I Section-1
=====================================================================
Problem: Draw the graph of
2,1
2
2,3
)( x
xxx
xf
Discuss the existence of .)(
2xfLim
x
Solution:
.123)3()( 22
xLimxfLim xx
.211)1
2
()( 22
x
LimxfLim xx
)()( 22 xfLimxfLim xx
.)(
2existnotdoesxfLim
x
-3 -2 -1 012345
-3
-2
-1
0
1
2
3
4
5Graph of y=f(x)
x-axis
y-axis
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Name: SOLUTION Registration Number: SOLUTION

Quiz No. 5

Calculus-I Section-

Problem: Draw the graph of

x

x

x x f x

Discuss the existence of ( ).

2

Limf x x

Solution:

2 2

^ 

Lim f x Lim x x x

2 2

^ 

x Lim f x Lim x x

( ) ( ) 2 2

Lim f x Limf x x ^ x 

2

Limf x doesnot exist x

-3 -2 -1 0 1 2 3 4 5

0

1

2

3

4

5

Graph of y=f(x)

x-axis

y-axis

docsity.com