LimitsHard
Question
The graph of the function f(x) = 
is
isOptions
A.
B.
C.
D.
Solution
f(x) = 
Case-I : when x = 0
f(x) = 0
Case-II : when x > 0
f(x) =
= 
× cot-1(∞) = 
. 0 = 0
Case-III when x < 0
f(x) =
= 
× cot-1(∞) = 
. π = 2x
⇒ f(x) = 2x
Case-I : when x = 0
f(x) = 0
Case-II : when x > 0
f(x) =
= × cot-1(∞) = . 0 = 0Case-III when x < 0
f(x) =
= × cot-1(∞) = . π = 2x⇒ f(x) = 2x
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