Solution Found!
?Find the limit or show that it does not exist.\(\lim _{x \rightarrow \infty} \frac{3
Chapter 2, Problem 20(choose chapter or problem)
Find the limit or show that it does not exist.
\(\lim _{x \rightarrow \infty} \frac{3 x^{3}-8 x+2}{4 x^{3}-5 x^{2}-2}\)
Equation Transcription:
Text Transcription:
\lim _{x \rightarrow \infty} \frac{3 x^{3}-8 x+2}{4 x^{3}-5 x^{2}-2}
Questions & Answers
QUESTION:
Find the limit or show that it does not exist.
\(\lim _{x \rightarrow \infty} \frac{3 x^{3}-8 x+2}{4 x^{3}-5 x^{2}-2}\)
Equation Transcription:
Text Transcription:
\lim _{x \rightarrow \infty} \frac{3 x^{3}-8 x+2}{4 x^{3}-5 x^{2}-2}
ANSWER:Step 1 of 2
The given expression is
The objective of the problem is to obtain the limit.
The quotient rule of limits states that
The sum/difference rule of limits states that .
The constant function rule for limits states that , where is a constant real number.
The limit to infinity property states that , where is a positive integer. Also, , where is any real number and is a positive integer.