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If f(x)={(36^x-9^x-4^x+1)/(sqrt(2)-sqrt(...

If `f(x)={(36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx)),x!=0k ,x=0` is continuous at `x=0,` then `k` equal `16sqrt(2)log2log3` (b) `16sqrt(2)in6` `16sqrt(2)in2I n3` (d) none of these

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Correct option is C)
`f(x)={(36^x-9^x-4^x+1)/(sqrt(2)-sqrt(1+cosx))`
=>`lim_(x→0) (​9^x(4^x−1)−(4^x−1))/(​sqrt(2)−sqrt(1+cosx))`
​`=>lim_(x→0​) ((9^x−1)(4^x−1)(sqrt(2) ...
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