If limx→∞ f(x) exists and is finite and nonzero and if limx→∞ fx+3fx-1f2x=3, then the value of limx→∞ f(x) is ________

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

answer is 1.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

limx→∞ fx+3fx-1f2x=3 or limx→∞ fx+3limx→∞ fx-1limx→∞ fx2=3 or y+3y-1y2=3 (where y=limx→∞ fx) or y3-3y2+3y-1=0 or y-13=0 or y=1

Watch 3-min video & get full concept clarity