Question

Find the following limit or state that it does not exist.\\ $\lim_{x \to 6} \frac{x^2 - 36}{x - 6}$

          Find the following limit or state that it does not exist.\\
$\lim_{x \to 6} \frac{x^2 - 36}{x - 6}$
        
Find the following limit or state that it does not exist.

limx → 6(x^2 - 36)/(x - 6)

Added by Leah M.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the following limit or state that it does not exist. lim_(x->6)(x^(2)-36)/(x-6) Find the following limit or state that it does not exist. 2-36 lim X6 x6
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Transcript

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00:01 This problem we are given r of t is equals to 30 t negative of 3 t square at t is equals to 3 so we have to find rate of change over t comma t plus h we are given h as 1 comma 0 .1 comma 0 .01 days and we have also asked to find what is r dash of 3 so first let us find when t is equals to 3 and h is equals to 1 which is 3 comma 4 gives r of 4 negative of r of 3 over 4 subtracted by 3 which is equals to r of 4 is 30 multiplied by 4 negative of 3 multiplied by 4 the whole square negative of 30 multiplied by 3 negative of 3 multiplied by 3 the whole square over 4 subtracted by 3 so we have 120 subtracted by 3 multiplied by 16 is 48 negative of 30 multiplied by 3 is 90 subtracted by 3 multiplied by 9 is 27 so solving this we get 9 so moving on we have when t is equals to 3 and h is equals to 0 .1 at the point is 3 comma 3 .1 which is equals to r of 3 .1 subtracted by r of 3 over 3 .1…
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