Estimate the following limit numerically, if it exists.
$$\lim _ { x \rightarrow 1 } \frac { x - 1 } { x ^ { 2 } + 4 x - 5 }$$
A) $\frac { 1 } { 6 }$
B) 0
C) $- \frac { 1 } { 4 }$
D) $\frac { 1 } { 4 }$
E) The limit does not exist.

Question

Quizplus · Accepted Answer

The denominator can be factored as $(x+5)(x-1)$, simplifying the fraction to $\frac{1}{x+5}$. As $x$ approaches 1, the expression becomes $\frac{1}{1+5} = \frac{1}{6}$.

Estimate the Following Limit Numerically, If It Exists lim⁡x→1x−1x2+4x−5\lim _ { x \rightarrow 1 } \frac { x - 1 } { x ^ { 2 } + 4 x - 5 }x→1lim​x2+4x−5x−1​

Estimate the Following Limit Numerically, If It Exists $\lim _ { x \rightarrow 1 } \frac { x - 1 } { x ^ { 2 } + 4 x - 5 }$