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SIMILAR QUESTIONS

Q1

 

        

Determine the value of ‘a’ if possible, so that the function is continuous at x = 0.

Q2

 for all real x and y. If f ’ (0) exists and equals to –1and f (0) = 1, find f ’(x).

Q3

Now if it is given that there exists a positive real δ, such that f (h) = h for 0 < h < δ then find f’(x) and hence f (x).