`f(x)=(p+q^(1/x))/(r+s^(1/x)),s gt 1,q lt1,r!=0,f(0)=1` is left continuous at `x=0` then

f(x)=(a+b^((1)/(x)))/(c+d^((1)/(x))), b gt 1, d gt 1, c ne0, f(0)=1 is left continuous at x=0, then

If {(f(x) = 1-x), (for 0 lt x le 1),(= k , for x = 0)} is continuous at x = 0, then k =

A: The functions f(x)=(1+cos^(3)x)/(x^(2))x!=0:f(0)=-(3)/(2) is continuous at x=0R: A function is continuous at x=a if Lt_(x rarr a)f(x)=f(a)

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

The values of p and q for which the function : f(x) = {{:((sin (p + 1)x + sin x)/(x), x lt 0),(q,x=0),((sqrt(x + x^(2)) - sqrt(x))/(x^(3//2)),x gt 0):} is : continuous for all x in R, are :

The value of p and q for which the function f(x) = {((sin(p+1)x+sinx)/(x), ",",x lt 0),(q, ",", x = 0),((sqrt(x+x^(2))-sqrt(x))/(x^(1//2)), ",", x gt 0 ):} is continuous for all x in R, are

The value of p and q for which the function f(x) = {((sin(p+1)x+sinx)/(x), ",",x lt 0),(q, ",", x = 0),((sqrt(x+x^(2))-sqrt(x))/(x^(3//2)), ",", x gt 0 ):} is continuous for all x in R, are

The value of p and q for which the function f(x) = {((sin(p+1)x+sinx)/(x), ",",x lt 0),(q, ",", x = 0),((sqrt(x+x^(2))-sqrt(x))/(x^(3//2)), ",", x gt 0 ):} is continuous for all x in R, are