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Let f:R to R, f (x)= {:((-1)^(n) if, x =...

Let `f:R to R, f (x)= {:((-1)^(n) if, x = (1)/(2 ^(2 ^(n)))"," , n =1"," 2","3.....),(0, "otherwise", ):}` then identify 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

Text Solution

Verified by Experts

The correct Answer is:
B, C
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