Let f : R → R be a continuous function satisfying f(x)+
x
∫
0
tf(t)‌d‌t+x2=0,
for all x∊R. Then -

Question

Let f : R → R be a continuous function satisfying \f(x) +∫ ↖{ x} ↙{0} 	f(t)dt +x^2 =0 , for all x ∊R. Then -

Examsnet · Accepted Answer

Correct Answer is : limx→−∞f(x)=−2

KVPY SX SB Exam 2015 Question Paper