[" The value of "p" and "q" for which the function "f(x)={[(sin(p+1)x+sin x)/(x),,x<0],[(sqrt(x+x^(2))-sqrt(x))/(x^(3/2)),,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

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)-sqrtx)/x^(3/2), xgt0):} is continuous for all x in R, is

The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x , x 0} is continuous for all x in R, are: (1) p=1/2, q=-3/2 (2) p=5/2, q=-1/2 (3) p=-3/2, q=1/2 (4) p=1/2, q=3/2