Determine the value of the real number A so that a finite limit exists, and then compute the limit:

Emery Boone

Emery Boone

Answered question

2022-05-22

Determine the value of the real number A so that a finite limit exists, and then compute the limit:
lim x ( A x 2 + 2 x 5 x )

Answer & Explanation

Michaela Alvarado

Michaela Alvarado

Beginner2022-05-23Added 11 answers

A x 2 + 2 x 5 x = ( A x 2 + 2 x 5 x ) A x 2 + 2 x + 5 x A x 2 + 2 x + 5 x = A x 2 + 2 x 25 x 2 A x 2 + 2 x + 5 x = ( A 25 ) x + 2 A + 2 x + 5
Notice that, as x goes to , the denominator goes to A + 5 and the numerator goes to
1. + if A > 25
2. if A < 25
3. 2 if A = 25
so A = 25 is our only hope to obtain a finite result, which would be
2 25 + 5 = 1 5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?