How-to-calculate-lim-x-3-x-3-x-2-x-6-

Question Number 134746 by zahaku last updated on 06/Mar/21

H o w t o c a l c u l a t e

l i \underset{x \to - 3}{m} \frac{x + 3}{\sqrt{∣ x^{2} + x - 6 ∣}} ?

Answered by mathmax by abdo last updated on 06/Mar/21

0

Answered by EDWIN88 last updated on 07/Mar/21

\lim_{x \to - 3} \frac{(x + 3)}{\sqrt{∣ (x + 3) (x - 2) ∣}} = \lim_{x \to - 3} \frac{1}{\sqrt{2 - x}} . \lim_{x \to - 3} \frac{(x + 3)}{\sqrt[4]{{(x + 3)}^{2}}}

= \frac{1}{\sqrt{5}} . \lim_{x \to - 3} \sqrt{x + 3} = 0

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