Question
In Exercises $37-54,$ find the limit (if it exists).$$\lim _{x \rightarrow 1} \frac{x-1}{\left(x^{2}+1\right)(x-1)}$$
Step 1
We notice that the numerator and the denominator both have a factor of $(x-1)$. We can cancel out these factors: $$ \frac{x-1}{\left(x^{2}+1\right)(x-1)} = \frac{1}{x^{2}+1} $$ when $x \neq 1$. Show more…
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