Elementary calculus 1

Calculus Level 1

lim ⁡ x → 7 x 2 + 2 x − 63 x − 7 = ? \large \displaystyle \lim_{x \to 7} \frac{x^2 + 2x - 63}{x - 7} =\ ?\

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The answer is 16.

Yellow Tomato by Yellow Tomato , 17, USA

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3 solutions

Saksham Jain
Nov 15, 2017

FACTORISE NUMERATOR.X-7 CANCELS . X+9 IS LEFT.7+9 IS 16

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Giovanni Gronchi
Jun 5, 2021

Since numerator and denominator go to 0 for x-->7 then we differentiate up and down as Hopital teaches and we get 2x+2 for x-->7 which equals 16 :) faster to do than to explain since we are differentiating polynomials.

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Yosua Sibuea
Dec 9, 2015

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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