Calculate the following limits- If limx - -2-3 6x2 - 5x - 6-3x2 - x - 2 is k-Find 5k

After factorize the given expression #160; ( 2x 3 ) ( 3x+2 ) #160; ( x 1 ) ( 3x+2 ) #160; #160; and cancel the common factor and put the limits we ...

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Byju's Answer

Standard XII

Mathematics

Algebra of Limits

Calculate the...

Question

Calculate the following limits.
If $lim x \to - 2 / 3 \frac{6 x^{2} - 5 x - 6}{3 x^{2} - x - 2}$ is k.Find 5k

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Solution

After factorize the given expression
$\frac{(2 x - 3) (3 x + 2)}{(x - 1) (3 x + 2)}$
and cancel the common factor and put the limits we get our answer that is
$k = \frac{13}{5}$
$5 k = 13$

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Calculate the following limits. If limx→−2/36x2−5x−63x2−x−2 is k.Find 5k

After factorize the given expression (2x−3)(3x+2)(x−1)(3x+2)and cancel the common factor and put the limits we get our answer that isk=1355k=13

Calculate the following limits.
If $lim x \to - 2 / 3 \frac{6 x^{2} - 5 x - 6}{3 x^{2} - x - 2}$ is k.Find 5k

After factorize the given expression
$\frac{(2 x - 3) (3 x + 2)}{(x - 1) (3 x + 2)}$
and cancel the common factor and put the limits we get our answer that is
$k = \frac{13}{5}$
$5 k = 13$