Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The limit does not exist because it approaches infinity as
approaches 2.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
The Deep Dive
To evaluate the limit
, we first simplify the denominator. Notice that
can be factored as
.
Now, the expression becomes:
As
approaches 2,
approaches 0, which leads to the fraction approaching
. This indicates a vertical asymptote, suggesting the limit tends to infinity.
Thus:
So, the limit diverges to positive infinity.