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Let f:R->R;f(x)={(-1)^n if x=1/(2^(2^n))...

Let `f:R->R;f(x)={(-1)^n if x=1/(2^(2^n)), n=1,2,3.......... and 0` otherwisw then identity the correct statement (s).

A

`lim_(xto0) f (x) f(2x)=0`

B

`lim _(xto0) f (x)` does not exist

C

`lim _(xto0) f (x) f (2x) =0`

D

` lim_(xto0) f (x) (2x)` does not exist

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The correct Answer is:
B, C
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