Determine whether
is continuous at x = 0 or not.
Formula:- (i)![]()
(ii) A function f(x) is said to be continuous at a point x=a of its domain, iff ![]()
(iii)
, where
,![]()

![]()
using formula (ii)
![]()
Using standard limit
=0
=f(0)
![]()
Hence f(x) is continuous at x=0
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