A Substitution Inside a Limit

Difficulty: Medium · Topics: Calculus, Limits, Fundamental Theorem of Calculus

Limit ichidagi almashtirish

F(x)=∫ 0^xt f≤ft(x^2-t^2 )dt, f(0)=0, f'(0)=1

Find lim x→ 0fracF(x)x^4.