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Find the value of a + b if f(x) = {((a e...

Find the value of `a + b` if `f(x) = {((a e^(1//|x+2|) - 1)/(2-e^(1//|x+2|)),; -3 lt x lt -2), (b,; x = -2), (sin((x^4-16)/(x^5+32)),; -2 lt x lt 0):}` is continuous at `x = -2.`

A

` a=sin "" (2)/(5)`

B

`b=-sin ""(2)/(5)`

C

` a=- sin "" (1)/(5)`

D

`b=sin "" (1)/(5)`

Text Solution

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The correct Answer is:
A, B
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