Let (an) → 0, and use the Algebraic Limit Theorem to com- pute each of the following limits (assuming the fractions are always defined): (a) lim (13 1+2an 1+3an-4a² (b) lim ((n +2)²-4) an 2+3 (c) lim(+5 an

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A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

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A: use L'Hospital Rule or solve it simply.

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Q: 2. Evaluate the following limits. -7r-8 (a) lim 4x +5 (b) lim 100 3r2-3.r +4 (c) lim

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Q: an initial investment of 1500 thousand dol ollars at the end of each of the next two qua The…

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Q: Evaluate the following limits, if they exist: x -x lim 0 (7-x)-49 53x-2* b) lim 7x

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

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Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: Given, limx→1x4-1x3-1. The objective is to evaluate the limit.   Apply the identity: x2-y2=x+yx-y…

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Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

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Q: Find a particular solution of the equation y4 -y3 - y" - y' - 2y = 8x^5:

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Q: A. Find the following limits: 2t2+3t+1 iii. lim 2t-1

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Q: 1² – 1 - 1 lim +1- a? – 2x +1'

A: To

Q: Calculate (a) so that the function is a real number

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Q: 4x + 12 lim 2 x 3 x²9

A: