TS EAMCET 14-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 65 of 160

Marks: +1, -0

Let f,g:R→R be function defined by f(x)={

xsin(

),‌for‌‌‌x≠0

0,‌for‌‌‌‌x=0

and g(x)=xf(x)
Consider the following statements:
(I): f(x) is continuous at x=0 but not differentiable at $$x=0
(II): g(x) is differentiable at x=0, but g1(x) is not continuous at x=0.

(I) is true : but (II) is false
Both (I) and (II) are true
(I) is false, but (II) is true
Both (I) and (II) are false.

Validate

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