Determine the following limits, using ∞ or -∞ when appropriate, or state that they do not exist. 2 X-8 a. lim X-8 2 X-8 A. b. lim X-8 2 X-8 c. lim X-8 a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. lim x→8* OB. The limit does not exist and is neither ∞ nor - 00. (Simplify your answer.) 2 X-8 C

Q: C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

A: Given limit: limz→-iiz3+i3z2+1 L'Hospital rule: If limx→cfx=limx→cgx=0 or ±∞, g'x≠0 for all x in I…

Q: 4. Calculate each limit. a. lim x b. lim (x + 7) c. lim x² x-10 d. lim (1-3x²) e. f. lim 4 lim 2

A:

Q: Q: Evaluate :lim k k +2. k? +3. k? +.... +k. k?

A:

Q: 3x lim x-2x² + 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: The given expression is limt→∞et+t2et-t

Q: Reduce the expression and then evaluate the limit: 100 lim X-10 x + 10 X + 10

A: Given limit is     limx→-10x2x+10-100x+10      We first simplify the expression .

Q: 11. What is the lim (5x? – 4x + 3)? x-2 А. 13 В. 14 С. 15 D. 16

A: 11.limx→2(5x2-4x+3) Recall: polynomial p(x) then limx→ap(x)=p(a) Soln: let p(x) be 5x2-4x+3…

Q: x*- 1 Find Lim- x-1 x+1 A. 08. B. -4 С. D. 0 Select one: C O C. O A O B O D 8 Olo

A: L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is…

Q: 10. lim x³ +5 3 X-∞ 2x

A: