GATE Computer Science (CS) 2019 Solved Papers

© examsiri.com

Question : 23 of 65

Marks: +1, -0

Compute

\lim↙{x→3}{x^4-81}/{2x^2-5x-3}

1
53/12
108/7
Limit does not exist

Solution:

\lim ↙{x → 3} \;{x^{4}-81}/{2 x^{2}-5 x-3}=\;{0}/{0}

form.
So apply

{L}^{'} {H}

rule

\lim ↙{x → 3} \;{4 x^{3}}/{4 x-5}=\;{108}/{7}

© examsiri.com

Go to Question:

Prev Question

Next Question