(a) Find the following: x1/3 + 9x/5 i. Lim X0 6x/2 - 4x1/4 (2x – 1)'/² – 3 ii. Lim X-5

Q: x² + kx – 10 Find the value of k that would make the lim exist. lim X – 2

A: Explanation of the answer is as follows

Q: Find the limit. 2 – 4x². - 9x + 11 lim - 8x + 6x +2 X00 11 OA. 2 ОВ. оо OC. O D. 1 F/N 8

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: Q1/ Find the following 1. lim + 2 = 3 X00 X 2. lim(5x - 4 + )

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Q. 1. Evaluate the following -x* +3x +5x –18 a) lim 5x – 2x-0.5 Vx² +15 –4 b) lim x-1

A: We have to calculate the limit

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A:

Q: Q4: A) solve: 1+rsin 1) lim y-0 1+xcos

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A:

Q: Find the following: x+/3 + 9x/5 (2х — 1)4/2 — 3 i. Lim- X-0 6x/2 – 4x'/4 ii. Lim x→5+ х — 5

A: we are solving only part (a) of the question because it contains super subparts. Please upload the…

Q: -5x + 7 if x 3. Find lim f(x). 3+

A: In general the right limit of the function  at a point gives the value of the the function as the…

Q: x4-16y+ lim (x,y)¬(2,1) x²–4y2

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Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: ,3 Find lim (x,y)→(0,0) x² + y² °

A:

Q: ; Be h(x) = - 2x + 1, x + 3 calculate lim h(x) 7,x = 3 x-3

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Q: (a) lim sih 7x (b) lim x 0 sin 7x x - 9 (c) lim x-9 x - 3

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Q: (금 1 Evaluate L = lim T→2 + x² – 5x + 6 -

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Q: Use the graph in Figure to find each of the following:

A: Limit L of a function at x=a is the value that a function approaches from both the left hand side…

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Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

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Q: 3. Use L'H rule to find lim (1– 2x)/=

A: From the given problem: limx→01-2x1x Let, y=limx→01-2x1x Now taking log on both sides.…

Q: x t 4x +3 x- x -2 f(x): 1 [x +3] 17X71- x 2 1 lim f(x) f(x) lim x-> 2

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Q: (a) lim x→2 arctan(7-3x)-" 2х-4 4 (b) 10-e5x lim x→00 16-x2

A: See the calculation and explanation below

Q: x2 – 4, x 3 -

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Q: If 1(x) = 8x+9 find lim t(x). 10x+6' X+00

A: The given function is tx=8x+910x+6.

Q: lim is x-0 X O A. 0 О в. 1 C. 8.

A: B. 1

Q: Q1/ Find the following 1. lim x2 + 1 = 2 x00 (x-2)2 2. lim x-2 (x-2)(x+2) 3. lim (5 -) x-0

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Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: 8x+4-4cos?x+tanx Q1) Find lim X-0 4sin2x

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

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Q: 15x 5. Find lim using special limits. X→0 sin 3x

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Q: Find the following: x+/3 + 9x/5 (2х — 1)1/2 — 3 - i. Lim- x-0 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

A: a)

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

A:

Q: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: 1 4. Find limx→0+ ( ) ex-1

A: Given :          limx→0+1ex-1-1x

Q: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.

Q: For the lim z (6x +) = 4, find the largest & that "works" for e = 0.0032. (Use decimal notation.…

A: Given,                    We have to find del.

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

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Q: nx + 1 If lim エ→+0 = 9, find n. 1 %3D nx -

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Q: V2x(x-1) 3. lim-1 Jx-1|

A: Given limit, limx→12xx-1x-1

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Q: Lx + 2x + 4 Evaluate limx-0 %3D 6x3 + 4x² + 7 x²-4x lim,→4 7-4 O 4/7 O 1/7 O 8 O 4/6 O 1/6 O 4 O…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your…

A:

Q: x+1 If f(x) = Solve to find lim f(x)? %3D Vx2+5-x'

A: Here is complete computation for your limit

Q: 1. lim f(x) where flx) = (-3x + 8 if x -2

A: Use limit condition.

Q: 6) Find lim f(x). X>T/2

A: Given graph we have to find limx→π2f(x)

Q: -10 2468 10 x -4+ ad • +8- -10- Find lim f(x) = %3D

A: The graph of the function f(x) is

Q: steps: -x*-5x lim arctan 4+3x2-2. V1+4x6 b. lim lim (V9x2 + 2x + 3x) С.

A: Solving by limit theorem we have

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.