find the limit 3/x^2-6x+9 as x approaches 3 ...?

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21-11-2016
Mathematics

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find the limit 3/x^2-6x+9 as x approaches 3 ...?

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Edufirst Edufirst · Answer 1 · 2016-12-04T13:50:32+01:00

Edufirst Edufirst

04-12-2016

Lim [3 / (x^2 - 6x + 9)] = Lim [3 / (x -3)^2] ...(by factoring)

Find the side limits:

x -->3 + => Lim [3 / (x -3)^2] = 3/0 = ∞

x -->3 - => Lim [3 / (x -3)^2] = 3/0 = ∞

Then the limit is ∞

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