ASSIGNMENT #1
Spring 2021
Name: Abdul Rehman
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mth101 - calculus and analytical geometry assignment 1 2021
Question 1 Marks=04
If 
Find 
and also its domain.
f(x) = x2 – 2
g(x)
= 
(fog)(x) = ()2 – 2
(fog)(x) = 2 – x – 2
(fog)(x) –x
Domain = (
)
All Real Number
Question 2 Marks=06
If 
then check whether the
exist or not.
h(x) = 
h(x) = 
h(x) = 
hence
h(x)
= ± (x+2)
taking
limit on b/s
(h(x))
= (±(x+2))
(h(x))
= (x+2)
Lim(h(x))
= (3+2)
Lim
(h(x)) = 5
Lim
(h(x)) = Lim (-(x+2))
Lim
(h(x)) = Lim (x+2)
Lim
(h(x)) = (3+2)
Lim
(h(x)) -5
Therefore
Lim (h(x)) is exist…...
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