Define f:R\toR by f(x)=\\begin{array}{c}(x-a){e^{1/{(x-a)\end{array}}-1}/{e^{1/{(x-a)}}+1}{,},for\,\,\,\, x\neqa;0{,},\at \,\,\,\, x=0

Correct Answer is : the function f(x) is continuous at x=a

left and right limits of f at x = a are equal and they are not equal to f (a )

both left and right limits of f at x = a exist and are not equal

the function f(x) is continuous at x=a

the function f(x) has a simple discontinuity at a point other than a

TS EAMCET 14-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 63 of 160

Marks: +1, -0

Define f:R→R by f(x)={

(x−a)

−1

(x−a)

for‌‌‌‌x≠a

at‌‌‌‌x=0

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