Explain why direct substitution in as gives an indeterminate form

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Explain why direct substitution in x2−9x−3\displaystyle \frac{x^{2}-9}{x-3} as x→3x \to 3 gives an indeterminate form, and state the common factor that must be cancelled before evaluating the limit.

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