No limit to the power of the limit

Level 2

Find lim ⁡ x → 3 x 2 + 4 x − 21 x 2 − 2 x − 63 \lim_{x\to 3}\frac{x^2+4x-21}{x^2-2x-63}


The answer is 0.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Michael Ng
May 19, 2014

Factorising and cancelling the fraction gives x − 3 x − 9 \frac{x-3}{x-9} which limits to 0 when x tends to 3. Interesting problem!

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