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

Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

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

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Q: (a) lim 5x*+3x²-6r+10 2x4-3.x-4 4. Find the limit:

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Q: Calculate the limit limx→0lncosx3√1+x2−1.

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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: 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…

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

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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

A: Approach to solving the question:For solving this question to find the value of 'a', we use the…

Q: 4x + 12 lim 2 x 3 x²9

A: