Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numerator and denominator, then cancel as many factors of n as possible. If the sequence does not converge, enter diverges in the final answer box. 2 + 8n + 7n2 lim n→0 6n2 – 5n + 7 lim 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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Use algebra to simplify the expression before evaluating the limit. In particular, factor
the highest power of n from the numerator and denominator, then cancel as many
factors of n as possible. If the sequence does not converge, enter diverges in the
final answer box.
2 + 8n + 7n²
lim
lim
no 6n2 – 5n + 7
n00
26
Transcribed Image Text:Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numerator and denominator, then cancel as many factors of n as possible. If the sequence does not converge, enter diverges in the final answer box. 2 + 8n + 7n² lim lim no 6n2 – 5n + 7 n00 26
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We need to calculate the limits here, we will take common multipliers and will cancel out.

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