2 Problem 1: (a) State the definition of a limit, e.g., define what it means for limc f(x) = L (b) Provide an e-o proof of lim+1 x +3x = 4. If true nrovide a o ar falco

Q: ple: Find the limits for the follo 1. limx2(2- x) X-3 x2+4x+4 2.) lim Solutic

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Q: 15. Evaluate the limit for the graph: lim f(x). *→2* 4 +∞o a. b. -1 14 A 2 -2 0 2 A C. d. 2 does not…

A: Solution:

Q: 6. Use the graph of the function f(x) = He to discuss the limit lim 40 f (x). 1+e!/x

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Q: Evaluate the following limits 1-e²x)² 7x (a) lim- x-0 1-cosx (b) lim x² In 1 *** 1 9x²

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Suppose lim f(x) = 6 and lim g(x) = 3. x 4 x →4 Use limit laws to compute the following: f(x) + g(x)…

A: given  limx→4f(x)=6limx→4g(x)=3we know limx→a(f(x))n=(limx→af(x))n…

Q: 1. Evaluate the following limits 5- cscx lim (xy)-(/2/2) 4cosy - (9/π)x

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Q: 3. Evaluate the following limits. (a) 12 – 2x - 1 lim Va – 15 (b) lim (V17 - )(z - 5)13

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Use the e-8 definition of a limit to compute the value of the following limits: 1. lim -3x+1 3

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Q: 5. Evaluate the following limits. (a) lim (1+ e-2")3e²r+*. (b) lim (0.999999999)- In. |

A: 5(a) The given limit is: limx→∞1+e-2x3e2x+1 To evaluate the given limit.

Q: 2. Suppose DC R and functions f: D→ R and g: DR. Suppose to is an accumulation point of D and lim…

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