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This worksheet is graded on completion. You must complete the entire worksheet to earn any credit. You answers do not have to be correct. Of course, it is better if they are, but the purpose of the this worksheet is the help you master the material. If you aren't sure about the mathematical steps, you can describe the process or support your solution by writing an explanation. Use l'Hopital's Rule to evaluate the limit. (Numbers 1 - 5) x2-64 1) lim x- 8 x-8 1) A)-16 B) -8 C) 16 D) 8 cos 5x-1 2) lim x 0 A) - 25 2 2) x2 B) 0 D) 23 5/2 3) lim X x 0 sin x A) 4) lim X A)-1 5) lim -X x+8x+11 x3 + 5x + 3 2x +9 8x2+8x-8 A) 1 6) lim (x + 6x - x) B) -1 C) 1 D) 0 3) 4) B) 00 C) 1 D) 0 -- Challenge Problem D) 0 5) 6 Summary L'Hospital's Rule. 8 or o page 4 lim. F(x) = lim f'(x) xza g(x). x>a g'(x) for sam 0.0 Rewrite Find lcd or multiply by conjugate. to convert to L'Hospital Format using to convert to L'Hospital Format f(x) g(x)= F(x) g(x). g(x) f(x) Take natural log of both sides. Use log rules to drop the power same for 0.0 jugate to convert to L'Hospital Format f(x) Rewrite using f(x) g(x)= 9(x) g(x) f(x) to convert to L'Hospital Format 1 Take natural log of both sides. Use log rules to drop the power = .0] (2) 3. Follow & process to convert to L'Hospital Format Find limit using L'Hospital's Rule. Solve for y ...Ans... Iny Ans. = y=e

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