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Grade: 12th pass
        
If f(x) equals to Limit n tends to infinity (1+x )^n then comment on the continuity of f(x) at x = 0 and explain
10 months ago

Answers : (2)

Arun
22784 Points
							
Dear student
 
f(x) will be discontinuous at x= 0 as Limit does not exist at x=0.
LHL will be 0 will f(0) will be 1 and RHL dors not exist
10 months ago
Aditya Gupta
1690 Points
							
f(0)= Limit n tends to infinity (1+0 )^n
=Limit n tends to infinity (1)^n
=1
now, whenever x is less than zero, 1+x would be less than 1, so Limit n tends to infinity (1+x )^n would be zero. hence when x will approach 0 from lhs, f(x) would be zero
therefore f(x) is not continuous at 0
10 months ago
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