The value of p and q for which the function f(x) = {((sin(p + 1)x + sinx)/x, x < 0), (q, x = 0), ((√(x + x^2) - √x)/x^3/2, x > 0) is - Sarthaks eConnect

The value of p and q for which the function f(x) = {((sin(p + 1)x + sinx)/x, x < 0), (q, x = 0), ((√(x + x²) - √x)/x³/2, x > 0) is continuous for all x in R is

(A) p = 5/2, q= 1/2

(B) p = -3/2, q = 1/2

(D) p = 1/2, q = -3/2

The value of p and q for which the function f(x) = {((sin(p + 1)x + sinx)/x, x < 0), (q, x = 0), ((√(x + x^2) - √x)/x^3/2, x > 0) is

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