IIT JEE , AIEEE Forum - Mathematics , Differential Calculus - Interesting question...To determine continuity & derivablity of this function....

indr12365

If

f(x) = x+{x} +x sin {x} for x !=0 and 0 for x=0

find the continuity and differentiablity

Here {x} denotes the fractional part of x

Decoder

conti.

h + h + hsinh ...sinh = h..
h^2 + 2h...
for simply 0..

-h + 1 -h + -h ( sin1)

= 1 - 2h - hsin1..
= 1..

so func. is not conti. so non. diff. as well..

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