Find lim_(x rarr1)(x-11)/(x+7). Choose 1 answer: (A) -2 (B) -(5)/(4) (c) (3)/(2) (D) The limit doesn't exist

Substitution of x: To find the limit as x approaches 1, we can directly substitute x with 1 in the expression (x-11)/(x+7), since the denominator does not become zero and there is no indeterminate form.Arithmetic calculation: Substitute x = 1 into the expression: lim_(x -> 1)(x-11)/(x+7) = (1-11)/(1+7)Fraction simplification: Perform the arithmetic: (1-11)/(1+7) = (-10)/8Final answer: Simplify the fraction: (-10)/8 = -5/4The simplified fraction -5/4 corresponds to answer choice (B).

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Find
lim_(x rarr1)(x-11)/(x+7).
Choose 1 answer:
(A) -2
(B)
-(5)/(4)
(c)
(3)/(2)
(D) The limit doesn't exist

Find $\lim _{x \rightarrow 1} \frac{x-11}{x+7}$ . $\newline$ Choose $1$ answer: $\newline$ (A) $-2$ $\newline$ (B) $-\frac{5}{4}$ $\newline$ (C) $\frac{3}{2}$ $\newline$ (D) The limit doesn't exist

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Algebra 2

Add, subtract, multiply, and divide polynomials

Full solution

Q. Find

\lim _{x \rightarrow 1} \frac{x-11}{x+7}

\newline

Choose

1

answer:

\newline

(A)

-2

\newline

(B)

-\frac{5}{4}

\newline

(C)

\frac{3}{2}

\newline

(D) The limit doesn't exist

Substitution of $x$ : To find the limit as $x$ approaches $1$ , we can directly substitute $x$ with $1$ in the expression $(x-11)/(x+7)$ , since the denominator does not become zero and there is no indeterminate form.
Arithmetic calculation: Substitute $x = 1$ into the expression: $\lim_{x \to 1}\frac{x-11}{x+7} = \frac{1-11}{1+7}$
Fraction simplification: Perform the arithmetic: $(1-11)/(1+7) = (-10)/8$
Final answer: Simplify the fraction: $(-10)/8 = -5/4$
Final answer: Simplify the fraction: $(-10)/8 = -5/4$ The simplified fraction $-5/4$ corresponds to answer choice (B).