(x)- f(1) lim f(x) = 2 , where x-1 х-1

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Q: [x2+3x-1 a. lim 1 6 b. lim X+2 Lx-2 x2+2x-8 E. lim - h-0 h x+h Vx+h-Vx d. lim x >0 h-0 h

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

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Q: lim (cos(9x)) (+) x-0+

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Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

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Q: 2x -cos(2x)- 2x - (b) lim | x2

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Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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A: Given:  fx=5x+1x&gt;-15 To Find:  limh→0 fx+h-fxh=?

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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: Discuss the continuity of the function.

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Q: 23) lim f(x) x→1- f(x) 5- 4+ 3+ 2+ -5 -4 -3 -2 -1 -1. 5 х 2 4 -2+ -3+ -4+

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Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

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Q: x2 – 4, x 3 -

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Q: Vx+1- /2x x² - x 2х f ) lim x→1

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

Q: 1-cos (x-m) lim

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A: Here we have given an expression with limit and we have to solve it. We have lim (x,y)→(-3,4) (x3 +…

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

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Q: lim x approaches 0 (e3x-3x-1)/x2

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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Q: x2-x-2 2x-4 2sin(6x–12) 3(x-2) Sx-1 Let f(x)* ,g(x) • and h(x) Vz+2+1 a. Find lim f(x), lim g(x),…

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Q: 2. メー gu)= - fex) = X üls Is1 3メ-1 احب lim (fog) x メー

A: We have to find limit

Q: lim -Vx + +sin(x)cos(x) 1+In (x)

A: Topic:- limits

Q: 13. lim f(x), where Sx+2 xS2 3x-5 x> 2 f(x) = 14. lim f(x), where Sx* - x +1 x 3

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Q: Question 5- Evaluate the limit. Vx-1 lim Question 6 - Find the equation of the tangent line to y = -…

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Q: 7- sin-(e*) 2 lim V1 - e2x

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Q: (2-4* limx-1 sin(x³–1) X. x-1

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Q: x4/7 – 1 lim f'(a) where x→-1 x + 1 f(x) = and a = x4/7 lim x + 1 1 х>-1 II

A: Explanation of the solution is given below...

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

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Q: lim -Vx + e* + sin(x)cos(x) 1+ In (x)

A: limx→3-x5+ex1+ln(x)+sin(x)cos(x)=-35+e31+ln(3)+sin(3)cos(3)

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: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Q: cos(x) - 1+ lim 14x4 Limit %3D

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Q: f(x+Ax)-f(x) Find lim 4x-0 if f(x) = 4x + 5. Дх

A: NOTE: Refresh your page if you can't see any equations. .

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: Q2) Find : (a) lim (2 + x) x-4+ 16-x 1-secx 0 sinx cos2x sintx (b) lim (c) lim (d) lim x-0 sin2x…

A: Dear student, According to bartleby guidelines when student post more than one question then expert…

Q: -x + 1,x 2 0 Let f(x) = {x² + sin x -,x <0' (a) Find left-hand and right-hand limits as "x"…

A: Consider the given information:

Q: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

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Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: