lim The notation f (x) = L indicates that as x approaches a from both the left of x-Da and the right of x-a, the output value of the function gets close to L.

Q: 1. Let f(x) = 3x - 20x². • Find where the function is increasing and where decreasing. Show work!…

A: To find maxima and minima

Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

Q: lim x approaches -2  ............. (x + 2)/[(x^2 + 5)^1/2 - 3]

A: The limit approaching to certain point of an expression can be evaluated by applying the limit point…

Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule

A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.

Q: b) Let f(x)=x² -3x+5. Show that the average rate of change of f (with respect to x) on an arbitrary…

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Q: lim x-0 1+x−1

A: Given problem:-

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Find the limit

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Q: Find vertical and horizontal asymptote of F (x)=Ln(4-x^2)

A: To Determine: Find vertical and horizontal asymptote of:…

Q: lim d. x → 2 Vx²-4x+4 lim 4-V21-x C. x → 5 х-2 x-5

A: Given that: c. limx→54-21-xx-5d. limx→2x2-4x+4x-2

Q: Sketch the graph of a function with the given limits:

A: Given: limx→1fx=∞……1limx→3-fx=0……2limx→3+fx=-∞……3

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: a) Form a piecewise function by using exponential, quadratic & linear function. b) Your domain for…

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Q: lim 1 4 X + 2* x-2 In(2x-3)

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Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

A:

Q: lim x approaches 9 ........ [(x)^1/2 - 3]/(x - 9)

A: limx→9 x-3(x-9)When put x=9, then00 form occur

Q: y = 1.2889x3 - 358.53x2 + 48536x - 34188 What is the second derivative, what is the point of…

A: we have been given an equation  y=1.2889x3-358.53x2+48536x-34188 to find the inflection point we…

Q: Lim x->4 (x2-3x-4)/ (x-4)

A:

Q: lim X+ X+)X +3 2x-X-1

A: Given: The function is  f(x)=x3+x2+x+32x3-x-1   To determine: limx→1x3+x2+x+32x3-x-1

Q: lim x-Vx2 + x 00++x

A: Here we have to find the value of     limx-->+∞(x-√(x2+x))

Q: lim f(x) = 7 x-00 lim f(x) = 9 x--00 f(1) = 6 f (3) = 1 f'(x) dx | F'(x) dx

A: .

Q: lim x→−4−  f(x) = (x+5)(x-3)^4                                       ÷…

A: The given limit can be simplified as limx→-4-f(x) = limx→-4-(x+5)(x-3)42(x-3)3(x+4)…

Q: Lim x 0 (2x-1)1/2 -3/ x-5

A:

Q: Sketch the graph of a function with the given limits.

A: let f(x) be a function, has the propertieslimx→1f(x)=∞ , limx→3-f(x)=0 , limx→3+f(x)=-∞

Q: Lim 1-Vx X-1 1-

A: We have to find given limit.  Concept:

Q: Sketch the graph of a function with the given limits.

A: Given that,

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: lim x-3-j 2 x²-8-j6 2x²− x³ −3l+x −j37

A:

Q: lim 2 -V1-x find Value. 3 +x

A: We need to evaluate the following limit limx→02-1-x3+x

Q: lim                     (1 + 2x)1/2lnx x -> infinity

A: In the question we have to find the answer of the limit.

Q: lim x→>0¯ -3/x 2 x² e

A: This question is based on limits and L' hospital rule

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Evaluate

A: alimx→3−1x−3L.H.L x→3− means x approaching 3 from left ,x<3⇒x-3<0⇒limx→3−1x−3=1−0=−∞Or we can…

Q: lim l x° - 3 x + 2 1 メ-1

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Q: lim x->4 (x-4/x2 -x-12)

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Q: lim f(x) = x - -4" a. b. lim f(x) = x- -2 C. f(-2) = %3D

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Q: lim(x->5)  2x/(x-5)3

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Q: X - 4 (a) lim x→4 x´ -x-12 x² - 27 (b) lim .3 x² -9 (x+h)° – x² (c) lim h→0 h ||

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: 1.) lim 3* x-2 2.) lim (2x+¹ -3) x-2

A: Given: 1.limx→23x2.limx→22x+1-3

Q: lim f (x) %3D X-2

A: Given that : Graph of the function :

Q: a) Form a piecewise function by using exponential, quadratic & linear function. b) Your domain for…

A: we have to form a piecewise function whose domain is -a≤x≤a

Q: im                           =x/x-2 x-> 2^+

A: Given limit is as below:

Q: x-2 Evaluate: lim Vx-1 - 1 X-2

A: Givrn limit, limx→2x-2x-1-1 is in 00 indeterminate form

Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: d) lim_ f(x) x-3- e) lim f(x) x-3+ f) lim f(x) x- 3

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Q: lim f(x+h)- f(x) where f(x)=4- 2x-x h

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Q: lim f(x) = 7 x-9 - ForaI alun

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Q: Vx+1-2 lim 3. Evaluate x-3 using table of functional values.

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Q: A right triangle has one vertex on the graph of y = x3, x > 0, at (x, y) another at the origin, and…

A: Given, A right triangle has one vertex on the graph of y = x3, x > 0, At (x, y) another at the…