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Is function f(x) ={{:( ((e^(-x)+x^(2)-a)...

Is function `f(x) ={{:( ((e^(-x)+x^(2)-a)/(-x))^(-1//x), -1 le x lt0),( ( e^(1//x)+e^(2//x) + e^(3|x|))/(ae^(2//x) +be ^(3|x|)), 0 lt xlt 1):}`
continuous at x=0 then

A

a=1

B

`b=e^(-3///2)`

C

`f(0)= e^(3//2)`

D

`f(0) =e^(-1//2)`

Text Solution

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The correct Answer is:
A, B, C
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