Chapter 14: Q. 31 (page 883) URL copied to clipboard! Now share some education! In Problems 7鈥� 42, find each limit algebraically.limx鈫�-3x2-x-12x2-9. Short Answer Expert verified The answer is76. Step by step solution 01 Step. 1 Given Information Firstly, we check whether the given function is in indeterminant form or not.f(x)=x2-x-12x2-9Put x=-3in numerator we get,x2-x-12=(-3)2-(-3)-12=9+3-12=0.Now, put x=-3in denominator we get,x2-9=(-3)2-9=9-9=0.Since both numerator and denominator gives 0 means they both havex=-3as their common root. 02 Step. 2 Factorizing Numerator, x2-x-12=(x+3)(x-4),Denominator, x2-9=(x+3)(x-3),So,limx鈫�-3x2-x-12x2-9=limx鈫�-3(x+3)(x-4)(x+3)(x-3)=limx鈫�-3x-4x-3.Now we can put the limit directly. 03 Step. 3 Final calculation of the limit limx鈫�-3x-4x-3=-3-4-3-3=-7-6=76. Unlock Step-by-Step Solutions & Ace Your Exams! Full Textbook Solutions Get detailed explanations and key concepts Unlimited Al creation Al flashcards, explanations, exams and more... Ads-free access To over 500 millions flashcards Money-back guarantee We refund you if you fail your exam. Over 30 million students worldwide already upgrade their learning with 91影视!
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