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Suppose f(x) = e^(-sqrtx) +e^(-1/(x^2))....

Suppose `f(x) = e^(-sqrtx) +e^(-1/(x^2))`. If
`f^('') = alpha e^(-sqrtx)/x (1+1/sqrtx) +beta e^(-I/(x^2))/(x^4) (3- 2/(x^2))`
Then `(alpha,beta)` =

A

`(1/4,2)`

B

`(1/4,-2)`

C

`(-1/4,2)`

D

`(-1/4,-2)`

Text Solution

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The correct Answer is:
B
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