Q. 10 G5.0( 2 Votes )
Discuss the continuity of the following functions at the indicated point(s).
at x = 0
Answer :
In this problem we need to check continuity at x = 1
Given function is
at x = 0 …… Equation 2
∴ we need to check LHL, RHL and value of function at x =0 (for approaching idea and meaning of continuity refer to Q10(i))
Clearly,
f(0) = 0 [ from equation 2]
LHL = 
[by putting x = –h in eqn 2]
= 
RHL = 
[by putting x = h in eqn 2]
= 
Clearly, LHL ≠ RHL ≠ f(0)
∴ f(x) is discontinuous at x=0
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