Q. 2. a) Find the limits of the following functions: 1. ii. sin 2x lim: x-02x²+x √x² +12-4 lim X-2 x-2

Q: х3-2х-1 lim x-3

A: This question is based on Limits

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Q: Ex 13 if they exist, calculate the following limits. (e) lim lim√ -1 x-1 (11√27 (f) lim- (k) lim -√2…

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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: A. Directions: Find the limit of the following rational functions: X-1 1. lim x1Vx² + 3 sec x 2. lim…

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A: We can evaluate the limit as below

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Q: 4.) x²-9 lim X-3 x-3

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Q: Find the limits

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Q: B. $17.01 1.23 C. $ D. $9.12 3) Consider three limits: x³ +2x2 - 2x- 1 x³ + x + 7 sin nx p= lim x-1…

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Q: 2. Find the limit of the following functions h. 3x² + 5x - 7 lim x-00 6x² + 2x² - 2x + 8,

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Q: Evaluate Given Limits a. Lim (6h+h²+3) →>0 b. Limo 4h+h² 4 c. Lim (1+2h+h² +2+2h) d. Limo 2xh+h²-2h…

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Q: What is lim x-->2 f(x)

A: Here we will see the graph and answer as per that....

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A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

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Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 9x¹+x x-100 2x¹45x²-x+6 iv. lim

A: Given limx→∞ 9x4+x2x4+5x2-x+6

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A: It is given that

Q: Q2 Find the limits of the following functions: 2-V-5 1. lim tan2r 2) lim -1 1-t-2 3) lim X0 tan4x 4)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: x2-1 5.) lim x-1x2-3x+2

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Q: Use the definition of limit of a function to findlim x3 −3x−2. x→2 x2 −3x+2

A: Limit x tending to 2 = 9.Explanation:Step 1: Step 2: Step 3: Step 4: