value of f(0), so that its function f(x)=(√1+2x -3√1+2x)/x is continues is
a)1/3
b)3
c)-1/3
d)0
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2 Answers
46Apply L Hosp Rule and differentiate. The function is continuous when f(0)=lim (x-0)f(x). After applying l' hosps rule once simply substitute 0 for x to get 1/3.
36ya.. applying L-H rule is the best idea for find the limit at x -> 0 which is the required value of f(0)
as by def. of limit,
lt h->0 , f(x-h) = f(x+h) = f(0) :)