x- 1 1. lim X-I x - 1

Q: 1) lim x-5 x² – 5x 2) lim x -5 x+6-1 x+5

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Q: lim (1-e X-

A: Limiting value of function is the value achieved by function when variable tends to approach certain…

Q: Finding LimitsIn Exercises 9–14, find the limit or explain why it does not exist.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (2x – 5, x 2 0 lim h(x) = x→-4 where h(x) = x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4.001…

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Q: (1+x)ï=1 g- lim x-0

A: The solution for the above question is as shown below.

Q: 46. lim 2x-3 47. lim x-4 3x'-5x +7 8+2x-5x x-2 48. lim 49. lim x+3 50. lim +2

A: 46.

Q: evaluate the limit.

A: Given:

Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: 1 lim x→2- x – 2

A: The notation indicates that the limit is the value the function approaches to from the left of the…

Q: Limits of compositions Evaluate each limit and justify youranswer.

A: The given expression is limx→0x8-3x6-140

Q: lim x to 0 ((1/x)-(1*x(x+1)^-1/2))

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Q: |1-x*| 5. lim X-o x(x+1) II

A: Here we solve limits.

Q: 1 (ii) lim z-»b b - x

A: The given limit is limx→b-1b-x

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

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Q: 1. lim x2 +1 = 2 ズ→0 (x-2)2 2. lim X2 (x-2)(x+2) 3. lim (5 -)

A: Put the limit in function

Q: 2 -2 2 4 lim_f(x) = 10. lim f(x) 9. x→-3 x→3 11. lim f(x) 12. f(-3) = - x→0 13. lim f(x) = x→4- 14.…

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Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

Q: 4. x- 1 lim x- Vx + 5-3

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Q: Find the limit

A: The given expression limx→013+x-13x

Q: 1 1 2 – 1 lim x-2 x – 2 -

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Q: x²+x-2 1. lim X-o 4x-1

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Q: 1. f(x) = x +x2 -2 lim(x +x2 - 2) X-+1 2. 1. 10

A: Existence of limit of a function:  The limits of a function fx exists if and only if the one-sided…

Q: x-1 lim x+2+ x - 2 does not exist O +∞ 01 O -∞

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Q: 1 1 (a) Lim X- 1 x+ 1 = -2 X

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Q: 13. lim X- 6 3 14. lim X-1 x+1 X-4 15. lim x-2

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Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x&lt;-2ax+3b,-2≤x≤14x+b,x&gt;1

Q: x+2, x# 1 Evaluate: lim 10 , x=1 00 does not exist 10

A: Topic:- limit

Q: 1. 2. 3. () ) lim lim 2 tan lim (x²–16) x+2 - x →4 4-x х -3 х-2

A: Note : According to our answering guidelines we have to solve only 3 sub parts (if multiple subparts…

Q: 1 lim h(x) =-3 then lim (g(x)+ (g(x)– h(x)) %3D | x-4 x--4 c) 8 d) 13

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Q: use a graphing utility to find the indicated limit rounded to two decimal places.

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: 1 lim x-5 I. Find

A: For x-&gt;5^+ , x-5 -&gt; 0^+So denominator equals to 0.We can not find the limit by plugging the…

Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

Q: Зx2 +2х-5 1. lim x-1 х-1

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Q: 1 1 4.3) lim x² –1 2х-2 x→1

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Q: 4-4e* lim X→0 xex

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Q: e – e-* lim I-0 x2 + 3T

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Q: 9- 9 – x+ z* lim (1) *→2 x-2 x +x-6 lim . X00 (2) x-2

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Q: 1 1 # 7) lim X-2 *- x+2

A: Topic - limits

Q: 4) lim X-2 X-2

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Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

Q: x² + 1 x – 1' if x -1 | бх — 4 3x² + 4x 1 O Evaluate: lim x2/3 + Зх + 2 4

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Q: 1 + (a) Lim X-1 'x+1, -2

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Q: x + 3x - 18 O lim X-3 x-3

A: Given: limx→3x2+3x-18x-3

Q: 51. lim (x- 2) *2-4 X+2+ lim r1/(x-1)

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Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x

A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…

Q: 1. lim g(x) = x--2- 2. lim g(x) = x→-2+ %3D 3. lim g(x) = x→-2 4. g(-2) =

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Q: 1 – 1 x + 1 lim x→0

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Q: (x +1)*(x – 1) lim .3 x'+1

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.