A function has the following values near

MATHEMATICS · Subjective · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

A function pp has the following values near x=−1x=-1.
x–1.10–1.05–1.01–0.99–0.95
p(x)–4.02–4.01–4.0004–3.9996–3.99
Let q(x)=k+p(x)q(x)=k+p(x). Determine the constant kk so that lim⁡x→−1q(x)=0\displaystyle \lim_{x\to -1} q(x)=0.

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