Lim x -x5-5 x-3-x2-x-2x equals

The correct option is B e4 Given expression=n→∞lim [ 1+4x+1/x^2+x+2 ]^x =e^n→∞lim(4x+1)/x^2+x+2x =e^n→∞lim4x^2+x/x^2+x+2 limit=e^4 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Indeterminate Forms

lim x →∞x5+5 ...

Question

$l i m x \to \infty {(\frac{x^{5} + 5 x + 3}{x^{2} + x + 2})}^{x} equals$

e⁴

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

e²

No worries! We‘ve got your back. Try BYJU‘S free classes today!

e³

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

lim x \to \infty {(\frac{x^{2} + 5 x + 3}{x^{2} + x + 2})}^{x}

lim x \to \infty {(\frac{x^{2} + 5 x + 3}{x^{2} + x + 2})}^{x} = e^{4}

lim x \to \infty (1 + x)^{1 / x} = e

f (x) = {(\frac{x^{2} + 5 x + 3}{x^{2} + x + 2})}^{x}

lim x \to \infty f (x)

lim x \to 0 \frac{(1 + x)^{5} - (1 + 5 x)}{x^{2} + x^{5}}

lim x \to \infty f (x)

\frac{2 x - 3}{x} < f (x) < \frac{2 x^{2} + 5 x}{x^{2}}

Join BYJU'S Learning Program