Identify the indeterminate form obtained on direct substitution in .

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Identify the indeterminate form obtained on direct substitution in lim⁡x→3x+6−3x−3\displaystyle \lim_{x \to 3} \frac{\sqrt{x+6}-3}{x-3}. (a) ∞/∞\infty/\infty (b) non-zero/0\text{non-zero}/0 (c) 0/00/0 (d) ∞−∞\infty-\infty

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