From the below graph (figure 1.1.2) the value of lim f(x) = x→-2+ figure 1.1.2 yA 6- -2 0 1 3 f(x), reenshot -2 -3 1 6 O O O O O

Q: 1. Complete the following tables of values to investigate, lim(r² - 2x + 4). S(x) S(x) 0.5 1.6 0.7…

A: 1) limx→1x2-2x+4 x f(x) 0.5 3.25 0.7 3.09 0.95 3.0025 0.995 3.000025 0.9995 3.00000025…

Q: Question 6 Prove, using the formal definition, that lim,→8(x)'/3 = 2. %3D

A:

Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5…

A:

Q: Find the value of the limit lim tan 2 x (a) 1/3 (b) 2 (c) 1 (d) 4 (e) 3

A: To find:

Q: Note: You may need to assume the fact that  lim M→+∞ Mne−M = 0  for all n.Sales of the text Calculus…

A: To calculate the total future sale of the text.

Q: Find the limit. Vn2 lim + 8h + 19 - 19 h→0*

A:

Q: b* – 1 Show numerically that for b = 2 and b = 4, lim x→0 appears to equal In 2 and In 4,…

A: Given limit:

Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

A:

Q: (a) Find the exact value of the overshoot lim E 1/1- dx/x?

A: Given limn→∞∑j=1n1/j2-∫1πdxx2

Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: Consider the graph of y = x2/3 = Vx² on the interval [0, 0]. FIGURE 2. The curve y = x2/3. 2 - Show…

A:

Q: In the below graph (figure 1.1.3), figure 1.1.3 10 -2 3- -4- -s lim f(x) = x-4+ %3D -3 O 6 1 -2

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Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: a) lim 2x e* +In x = ?

A: To find: The value of limit limx→+∞e3x+ln xe2x+x2. Concept used: Properties of limit:…

Q: If the line 3x - 5y = 7 is tangent to the graph of f at the point where x 4 then lim В. A. D. 5 С. З

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Q: Estimate the limit numerically. lim e-13 x13 a. O b. 13 О с. O d. 0 O e. 1 8.

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Q: Consider the following. - 1 if x + 0 f(x) %3D -3 if x = 0 y -2 2 -2 Use the graph to find the limit…

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Q: ex ) 4. Use the definition of the limit to prove that lim 4x + 2 = 14. %3D x-3

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Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

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Q: Consider the following. x² – 2 if x * 0 if x = 0 f(x) = y -2 -1 Use the graph to find the limit…

A:

Q: Question 1 Use the graph to evaluate the limit. lim f(x) x+1 O 00 O -1

A: From the above given graph  Lim x--> -1 f(x) = -1/2

Q: 4. Sketch the graph that satisfies the given conditions: fis odd, f' (x) 0 for x > 2; f"(x) > 0 for…

A:

Q: Evaluate the limit: 1-Cos(9h) lim h h >0

A: Find the limit When we plug in 0 for h, the denominator becomes 0 So it is undefined.

Q: Verify numerically that:

A: To verify: limh→0eh-1h=1

Q: Consider the following. Use the graph to find the limit below (if it exists). (If an answer does not…

A: The limit exists 0.

Q: In a model of the nervous system, the intensity of excitation of a nerve pathway is given by I = E[1…

A: Given  that: I=E1-e-a(S-h)E

Q: Question 12 Find the limit lim e2x+2h _ e 2x h-0 h O 2e* et

A:

Q: QUESTION 4 Compute the limit below. Justify your answer. (5x +8h)2-25x2 lim- h

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Q: Based on the previous item, what is x + 2 lim x→1+ x – 1.

A:

Q: Find the limit       lim h approaches 0   [(5h + 4)^1/2   - 2] /h

A: We have to find the limit of the given function: limh→05h+412-2h Since it is 00 indeterminate form…

Q: Please find the limit (in terms of the constant a).

A: it is given that

Q: Evaluate the limit.

A: We have to evaluate the limit: limh→0sin 9hh We know that limx→0sin xx=1 So making same angle of…

Q: V9x² + 1 lim x +1

A: Given : limx→∞9x2+1x+1

Q: Determine lim g(x) for gas in Figure 11.                   x➔0.5

A:

Q: Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

A:

Q: From the function H defined by sections a) Estimate the following limits: lim x→1/2h(x), lim…

A:

Q: Find the limit of the equation.

A: Evaluate the limit

Q: Estimate the following limits based on the graph of y = f (x) which is shown in figure 1. Give…

A: Explanation

Q: tan z lim is Select one: a. e b. 0 с. 1 d. -1

A: Given limx→01xtan(x)

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

A:

Q: M 27. (a) By graphing the function f(x) (cos 2x- cos x)/x %3D and zooming in toward the point where…

A: Given function f(x)=cos2x−cosxx2

Q: Question 9 Evaluate the linmit: lim (5y – 4y)

A: Ques:limy→15y3-4y

Q: Question 4: Let x, = for n E N. -2n+1 1. Use the definition of limit to show that lim(x) = - Explain…

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Q: Estimate 1/1−2^1/x from the graph limx→0+

A:

Q: 3 4. lim = 1 1 х-3 ух — 2 — V4 — х 12. х2 — 1, 2 1 5. lim х-з \x — 1

A: Given that: 4. limx→3x-3x-2-4-x=15. limx→31x-1-2x2-1=12

Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: Q1: Find the limit of the following х-2 2x2+1 tan nx 1) lim- 2) lim x-0 (2-x)(2+x) 3) lim x-2 x²-4

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