Question

find the limit. write ∞ or - ∞ where appropriate.
lim(x→0⁻) - 1/(11x)
lim(x→0⁻) - 1/(11x) = (simplify your answer.)

Explanation:

Step1: Analyze x approaching 0 from left

As \(x\to0^{-}\), \(x\) is a very small negative number.

Step2: Evaluate the fraction

Let \(x\) be a small negative number. Then \(\frac{1}{11x}\) is a large negative number since \(11x\) is negative and close to 0. So \(-\frac{1}{11x}\) is a large positive number.

Answer:

\(\infty\)