Use l'Hospital Rule to evaluate \lim_{x\to\infty}\frac{2x^2-5x}{9x^2+7}, T

glamrockqueen7

glamrockqueen7

Answered question

2021-11-08

Use l'Hospital Rule to evaluate limx2x25x9x2+7, Then determine the limit using limit laws and commonly known limits.

Answer & Explanation

funblogC

funblogC

Skilled2021-11-09Added 91 answers

Given expression is:
limx2x25x9x2+7
take out x2 from denomenator and numerator,
=limxx2(25xx2)x2(9+7x2)
=limx25x9+7x2
Next, solving the limit from last step,
limx(25x)(9+7x2)=(209+0)
=29
So, 29 is the value of given limit.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-06-28Added 2605 answers

Answer is given below (on video)

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