Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3) lim x-49 X - 49

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: Is there a number 'a' such that lim x → -2    (3x2 + ax +a +3) /  (x2 +x-2) exists? If so, find the…

A:

Q: 3. Explain why the following limits do not exist. 1 (a) lim x-5 (x-5)2 -x² +3, (b) lim h(x), where…

A: (a) limx→51(x-5)2 Let  f(x)=1(x-5)2 As x approaches 5, (x-5)2 approaches 0, and so f(x) approaches…

Q: (1+ h)² – 1 - Evaluate the limit: lim h

A: Recall: A Limit is the value that a function approaches as the input approaches some value.

Q: Suppose lim

A: We distribute the limits and then plug the given values.

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: Find the limit, if it exists. a.   lim x-> infinity      (6x4 - 2x2 + 3)/(3x4 + x - 5) b.   lim…

A: a.   lim x-> infinity      (6x4 - 2x2 + 3)/(3x4 + x - 5) = ? b.   lim x-> infinity      (5x +…

Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

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Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: (1) Evaluate the limit, if it exists. (a) x² + x - 2 lim t→1 x² - 4.x + 3 (b) x - 81 lim x→81 Vx - 9

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Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

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Q: 1. Use the properties of limits to evaluate the limit if it exists. 3x2+ 7x – 2 lim x→1 3x2 – 4x – 2…

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Q: Find the limits in Exercise

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

Q: 11. Show, via illustration, that the limits lim x and lim a are equal but the functions in each…

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Q: 1. Find the following limits mathematically. If the limit does not exist, state why. x* - 4x -12 a.…

A: When applying the limits to an expression and if we get a 00 form then use l'Hopitals rule to find…

Q: Find the limit.   Lim  x→1+      x1/1-x

A: Given function is By property of logarithm

Q: Given: x + 1, -2 < x < 0 x = 0 0 < x < 2 x = 2 2, f(x) = -x, 0, 2 < x < 4 х — 4, What is the lim…

A: Consider the given function. fx=x+1,          -2&lt;x&lt;02,                x=0-x,…

Q: 4. State if the following limits exist or not. If it exists, state the limit value. (a) lim 1-2+ x2…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Q/Calculate the limit statement lim l है 7) X → -

A: The objective is to evaluate the given limit. Lopitals rule states that limx→af(x)g(x)=LIf f(x)→0,…

Q: 4-Find the limits of the following; r-1 1.lim x+3-2

A: Answer

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

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Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

Q: (4) Evaluate the limit, if it exists. 9 – x lim 1→-00 3.x³ – 75

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Q: Find the limit, if it exists. x + 3 lim (x + 5)1/3

A: Solution: The objective is to find the value of given limit

Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below

Q: 11. Determine the limits. In(x) a. lim X→1 X-1

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Q: 8. Find the limit, if it exists, or show that it does not exist: 2x-y a) lim (xy)(1,2) 4x2-y2

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Q: d the limit lim X-3 x-2-1 x-3

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Q: Evaluate the limit, if it exists x² + 9 – 5 30. lim x→-4 x + 4

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Q: A- The result of the following limit is 2x² + 3x lim x→∞0x³ + x + 1

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Q: Q2: Find the limit r + 3 lim x-3 x + 4x + 3

A: We have to find limit

Q: Evaluate the limit, if it exists. 2 - x² – 16 lim X-4 x – 4

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Q: 1) a) Evaluate the limit. 1 1 lim 3 x x+3 x-3

A: Introduction: The limit of a function is the base of differential calculus. When the independent…

Q: Use a graphing calculator to find the value of the limit. 2x-6 lim 9- x O 0.4 0.9 -0.4 O 0.1

A: The objective is to use a graphing calculator to find the value of the limit.

Q: Find the limit, if it exists. x2 – 1 8) lim X --1 x2 - 6x + 5

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Q: 2. Evaluate the limits, if it exists. x²-6x+5 a) lim X-5 X-5

A: Given,  a lim x→5 x2-6x+5x-5  b limt→01+t-1-tt    We have to evaluate the limits

Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: 1. Use the definition of the limit to prove the following limit. 1. lim x = 3 x→3 2. lim x +x–11=9…

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Q: Find the indicated limit, if it exists. 9- x? x0 lim f(x), f(x) = X-0

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Q: X- Find the limit. lim x-→I X-1 tto

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Q: Find the limit, if it exists

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Q: 1. Find the limit, if it exists, or show that the limit does not exist. 3xy lim (x,y)→(0,0) x² + y*…

A: Given that, To check limit exists or not, check limit along different paths. i) Limit along…

Q: x2 + x – 6 lim х — 2

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Q: Evaluate the limit, if it exists.

A: Given limit limx→5 x2-3x-2x+6x-5limx→5 xx-3-2x-3x-5limx→5 x-3x-2x-5

Q: 10. Find the value of the limit or state that it does not exist c) lim f(x) = X2"

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Q: find the limit, if they exist.lim x-&gt;a (x^2+x-6)/x+2

A: Here, two cases arises, if a=-2 ,then denominator of function is zero and limit does not existIf a…

Q: Determine the limit graphically, if it exists. lim f(x)= x-1+ -5 4/3 -2 -1 -1+ 1 2 3 -4, 4 -2+

A: For the graph given in figure, LHL=limx→a-f(x)=m and RHL=limx→a+f(x)=l Here from the graph, when x…

Q: 12. Find the value of the limit: lim a. +00 b. -00 d. Indeterminate

A:

Q: Evaluate the limit: lim h→0 (−5+h)² - 25 h

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.