Mark the correct alternative in the following:

If the function f(x) defined by is continuous at x = 0, then k =

Formula:-

(i) A function f(x) is said to be continuous at a point x=a of its domain, iff

(ii) Standard limits _{,}

(iii) , where ,

Given:-

Now,

Using formula(III)

(Using standard limit)

Function f(x) is continuous at x=0

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