Question

homework 1.2: limits involving infinity
score: 23/36 answered: 14/18
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question 15
0/2 pts 8 49 details
evaluate the limit
lim(x→1) (x² + 11x + 10)/(x + 1)
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Explanation:

Step1: Factor the numerator

Factor $x^{2}+11x + 10$ as $(x + 1)(x+10)$. So the function becomes $\lim_{x
ightarrow1}\frac{(x + 1)(x + 10)}{x + 1}$.

Step2: Simplify the function

Cancel out the common factor $(x + 1)$ in the numerator and denominator. The function simplifies to $\lim_{x
ightarrow1}(x + 10)$.

Step3: Evaluate the limit

Substitute $x = 1$ into $x+10$. We get $1+10=11$.

Answer:

$11$