If , is continuous at , then where, and denote the greatest integer and fractional…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

f(x) = \frac{x - e^x + \cos 2x}{x^2}

x \ne 0

is continuous at

x = 0

, then where,

[x]

and

{x}

denote the greatest integer and fractional part function. (1)

f(0) = \frac{5}{2}

(2)

[f(0)] = -2

(3)

{f(0)} = -0.5

(4)

[f(0)] \cdot {f(0)} = -1.5