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Grade: 12th pass

                        

if a function is continuous but non differential at a point it implies

2 months ago

Answers : (2)

Vikas TU
13786 Points
							
Dear student 
this means that differentiable functions are very atypical among continuous functions. The first known example of a function that is continuous everywhere but differentiable nowhere is the Weierstrass function.
example the absolute value function is actually continuous (though not differentiable) at x=0.
2 months ago
Srutarshi Tripathi
38 Points
							
For continuity at a point , the function’s limit tending to that point must exist.Whereas for differentiabilty, limit of change in f(x) divided by change in x when delta x tends to zero must exist . Some functions like I x I is continuous throughout but non-differentiable at x=0
 
2 months ago
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