Question

(b) Evaluate the limit $$ \lim_{n \to \infty} \frac{\sqrt{7n^8 - 17 + 6n^3 - 5}}{\sqrt{17n + 5 + 3n^4 + 20n^2}} $$ Enter the exact value for your answer.

Name: b evaluate the limit limn to infty fracsqrt7n8 17 6n3 5sqrt17n 5 3n4 20n2 enter the exact value for your answer 92547
Uploaded: 2023-07-30T12:01:15-08:00
Duration: 3 min 18 s
Channel: Adi S
Description: b evaluate the limit limn to infty fracsqrt7n8 17 6n3 5sqrt17n 5 3n4 20n2 enter the exact value for your answer 92547

          (b) Evaluate the limit
$$ \lim_{n \to \infty} \frac{\sqrt{7n^8 - 17 + 6n^3 - 5}}{\sqrt{17n + 5 + 3n^4 + 20n^2}} $$
Enter the exact value for your answer.

$b evaluate the limit limn to infty fracsqrt7n8 17 6n3 5sqrt17n 5 3n4 20n2 enter the exact value for your answer 92547$

Added by Sydney R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/30/2023

Step 1

For the numerator, we have $\sqrt{7n^8 - 17 + 6n^3 - 5}$. The highest power of $n$ inside the square root is $n^8$. So, the effective highest power of $n$ in the numerator is $\sqrt{n^8} = n^4$. For the denominator, we have $\sqrt{17n + 5 + 3n^4 + 20n^2}$. The Show more…

Show all steps

Thanks for your feedback!

(b) Evaluate the limit $$ \lim_{n \to \infty} \frac{\sqrt{7n^8 - 17 + 6n^3 - 5}}{\sqrt{17n + 5 + 3n^4 + 20n^2}} $$ Enter the exact value for your answer.