MyQuestionIcon

1

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

Properties of Inequalities

The value of ...

Question

The value of $lim x \to \infty \frac{(2 x + 1)^{40} (4 x - 1)^{5}}{(2 x + 3)^{45}}$ is equal to

Open in App

Solution

Since degree of numerator and denominator is same, ratio of highest degree coefficients will be the answer.
So the limit $= \frac{2^{40} \cdot 4^{5}}{2^{45}} = 2^{5} = 32$

Suggest Corrections

thumbs-up

0

Similar questions

lim x \to \infty \frac{(2 x + 1)^{40} (4 x - 1)^{5}}{(2 x + 3)^{45}}

l i m_{x \to \infty} \frac{(2 x + 1)^{40} (4 x - 1)^{5}}{(2 x + 2)^{45}}

$lim x \to \infty \frac{(2 x + 1)^{40} (4 x - 1)^{5}}{(2 x + 3)^{45}}$

$lim x \to \infty \frac{(2 x + 1)^{40} (4 x - 1)^{5}}{(2 x + 3)^{45}}$

Q. The value of

lim x \to \infty {[\frac{2 x^{2} + 3}{2 x^{2} + 5}]}^{8 x^{2} + 3}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Properties of Inequalities

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon