8. Describe the type of indeterminate form. Evaluate the limit using L'Hôpital's Rule if necessary. sin 9x a. lim X-+0 Indeterminate form: Limit: b. lim (1+5x) X0+ 10 find the area of the region bounded by the graph of the function and the x-axis over the given interval. JE(18 2r2) (0 31

Q: х3-2х-1 lim x-3

A: This question is based on Limits

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A: L’Hopital’s Rule: L'Hospital's rule is used to evaluate indeterminate forms of limits. It states…

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: Find the following limits: 1. lim -2x/sqrt(9x2 - 3) as x approaches to positive infinity

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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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Q: 2x² +3x+1 10.) lim x00 3x2 -5x+2

A: We can evaluate the limit as below

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A: Given limit is limx→0x+-x

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Q: 2. Find the limit of the following functions f. lim x →∞0 x5 - 3x + 1 x-5

A: The given limit is: limx→∞x5-3x+1x-5

Q: 8. Evaluate the limit by using a √√x-2 a. lim x8x8

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Q: 2. Find the limit of the following function lim (secx- tan x)

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Q: Ouestion 3 A. Evaluate the following limits: i. lim (3 + x)² - 9 ii. lim x² – 25 5-x iii. lim 5x+6x²…

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Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

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Q: Evaluate the limit, limx→∞ 3x² e4x

A: L=limx→∞e4x3x2

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

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Q: 13. Evaluate the limit for the graph: lim¸(1 − x + x²) Xx→-1 a. 0 b. 1 14. Evaluate the limit for…

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Q: 6. Evaluate the following limits: 1/3 (x+8) -2 a. lim X x-0 b. lim x→-3 2 x²-9 2x² +7x+3

A: Given :limx→0x+813-2xlimx→-3x2-92x2+7x+3

Q: 10. Given the function || – x Find the limits (a) lim y -0+ (b) lim y -0- (c) lim y

A: To find the limits