Evaluate the Given limit: x→3lim2x2−5x−3x4−81

x→3lim2x2−5x−3x4−81=x→3lim(x−3)(2x+1)(x−3)(x+3)(x2+9)=x→3lim2x+1(x+3)(x2+9)=2(3)+1(3+3)(32+9)=76×18=7108

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Evaluate the Given limit: _{x 3}{x^{4}-81}{2x^{2}-5x-3}

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Evaluate the Given limit: $x \to 3 lim \frac{x ^{4} - 81}{2 x ^{2} - 5 x - 3}$

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Evaluate the Given limit:

x \to 3 lim \frac{x ^{4} - 81}{2 x ^{2} - 5 x - 3}

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x \to 3 lim \frac{x ^{4} - 81}{2 x ^{2} - 5 x - 3} = x \to 3 lim \frac{( x - 3 ) ( x + 3 ) ( x ^{2} + 9 )}{( x - 3 ) ( 2 x + 1 )}

= x \to 3 lim \frac{( x + 3 ) ( x ^{2} + 9 )}{2 x + 1} = \frac{( 3 + 3 ) ( 3 ^{2} + 9 )}{2 ( 3 ) + 1} = \frac{6 \times 18}{7} = \frac{108}{7}

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Question Text	Evaluate the Given limit: $x \to 3 lim \frac{x ^{4} - 81}{2 x ^{2} - 5 x - 3}$
Answer Type	Text solution:1
Upvotes	150