Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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For easier handling, reorder the terms of the polynomial $a^7+1$ from highest to lowest degree
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{a\to-1}\left(\frac{a^7+1}{1+a}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (1+a^7)/(1+a) as a approaches -1. For easier handling, reorder the terms of the polynomial a^7+1 from highest to lowest degree. We can factor the polynomial a^7+1 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 1. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial a^7+1 will then be.
