Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Find the value of given limit:  <img alt="\lim _{x \rightarrow \infty} \frac{17 x^4+52 x^3-235}{28 x^4+94 x^2+653}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Clim%20_%7Bx%20%5Crig

Find the value of given limit:  \lim _{x \rightarrow \infty} \frac{17 x^4+52 x^3-235}{28 x^4+94 x^2+653}

Option: 1

\frac{17}{28}


Option: 2

\frac{1}{28}


Option: 3

\frac{27}{28}


Option: 4

\frac{37}{28}


Answers (1)

best_answer

\lim _{x \rightarrow \infty} \frac{17 x^4+52 x^3-235}{28 x^4+94 x^2+653}

This expression can also be written as:

=\lim _{x \rightarrow \infty} \frac{17 x^4\left(1+\frac{52}{17 x}-\frac{235}{17 x^4}\right)}{28 x^4\left(1+\frac{94}{28 x^2}+\frac{653}{28 x^4}\right)}

=\lim _{x \rightarrow \infty} \frac{17\left(1+\frac{52}{17 x}-\frac{235}{17 x^4}\right)}{28\left(1+\frac{94}{28 x^2}+\frac{653}{28 x^4}\right)}

Putting value of limit:

\begin{aligned} & =\frac{17(1)}{28(1)} \\ & =\frac{17}{28} \end{aligned}

Posted by

Sumit Saini

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question