JEE Main 2002Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002limx→∞(x2+5x+3x2+x+2)x\mathop {\lim }\limits_{x \to \infty } {\left( {{{{x^2} + 5x + 3} \over {{x^2} + x + 2}}} \right)^x}x→∞lim(x2+x+2x2+5x+3)xAOption A. e4{e^4}e4BOption B. e2{e^2}e2COption C. e3{e^3}e3DOption D. 111CheckSkip · show solution