[" 14."f(x)=(p+q')/(r+s^((1)/(x))),s>1,q>1,r!=0,f(0)=1],[" left continuous at "x=0" then "],[[" 1) "p=0," 2) "p=r," 3) "p=q," 4) "p!=q]]

f(x)=(p+q^((1)/(x)))/(r+s^((1)/(x))),s>1,q<1,r!=0,f(0)=1 is left continuous at x=0 then

Function f(x)={-1,x in Q and 1,x!in Q is continuous at x=0

If the function g(x) {{:((e^(px) + log _(e) (1+4x)+q)/(x^(3))","x ne 0),(r"," x=0):} continuous at x=0 , then find the values of p,q and r.

If the function g(x) {{:((e^(px) + log _(e) (1+4x)+q)/(x^(3))","x ne 0),(r"," x=0):} continuous at x=0 , then find the values of p,q and r.

Assertion (A) : f(x) = xsin ((1)/(x)) is differentiable at x=0 Reason (R): F(x)is continuous at x=0

f : R - {0} to R " given by " f(x) = (1)/(x) - (2)/(e^(2x)-1) can be made continuous at x = 0 by defining f(0) as

The point(s),at which the function f given by f(x)= (((x)/(|x|),x =0))) is continuous,is/are: a) x in R b) x=0 c) x in R-{0} d) x=-1 and 1