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A function f satisfies the condition f(x...

A function f satisfies the condition f(x) - f'(x) +f'(x) + f''(x) + ......, where f(x) is a differentiable function indefinitely and dash denotes the order of derivative . If f(0) =1 , then f(x) is

A

`e^(x//2)`

B

`e^(x)`

C

`e^(2x)`

D

`e^(4x)`

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The correct Answer is:
A
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