A Product That Has to Stay Continuous

Difficulty: Medium · Topics: Calculus, Limits, Continuity

Uzluksiz qolishi kerak bo‘lgan ko‘paytma

Let f(x) be a linear function whose coefficient of x is 1, and let

g(x)=begincases(x)/(ln(1+2x)) & (x≠ 0)\\[6pt] 6 & (x=0)endcases

If the function f(x)g(x) is continuous on the open interval ≤ft(-1/2,\ ∞ ), find the value of f(4).