x2-4x+3 Evaluate: lim x-i x2-1 А. -2 В. -1 С. 1 D. 2

Q: (a) lim h(x) X--2 (b) lim h(x) x-0 (0, -5) (-2,-7) y y = h(x) X

A: We have to find limit values at given points x= -2 and x=0

Q: x²-x-6 - lim x→-2 x+2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4-x V6-5x+x f(x) = 1- find the domain 2- find lim f(x), lim f(x), lim f(x) x2 x-2 x-+2

A: givenf(x)=4-x2x2-5x+6solving x2-5x+6 by factorization method=x2-2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)and…

Q: lim X--1 メ+ (x+1)2+ 3

A: Let L is the value of given Limit.

Q: O Lim x+4 2 ズマー @ Lim Ja -I つく> -1 LimXー」 メテ ズ -1

A:

Q: x² – 9 - lim x--3 x² + 2x – 3

A: The given function is limx→-3x2-9x2+2x-3

Q: lim x2-1/(x+1)1/3  ? x-->-1

A:

Q: V-x – 2 – V3 te lim x--5 -x - 5

A:

Q: iz?-z- lim- z2-1 i o -i O 1 0 -1 0

A: Calculation/ Explanation : Let  A = limz→∞i z2 - zz2 -1 Divide numerator and denominator with z2 we…

Q: (a) Evaluate limits x? - 3х - 4 i. lim- X4 Vх - 2 3x +1 lim i. x--* J4x -1 X-0

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Q: x+1 lim V3- х - 2 Evaluate x→-1

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Q: V 19 - x - 4 Evaluate lim X-3 V28 - x - 5

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Q: Fill in the blank so that the resulting statement is true.

A: We know, The quotient property of limit states that the limit of a quotient is equal to the quotient…

Q: 3 - Væ + 5 lim x – 4 - ||

A:

Q: I - 1 (а) lim 41 r + x² – 2x 21? + 3д + 1 (b) lim Iª – x²

A:

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: Ans Find the limits. 2x +x- 1 = -3. 1. lim x +1 X-I

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

Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

A:

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: x + 3 Evaluate: lim r→-3 V1 – x – 2

A:

Q: r2-25 lim x-5 x-

A: I have provided the answer in step 2.

Q: Find the limits

A: Given  limx→-3x2 - 13

Q: V x + 9 - 5 lim X--4 x + 4

A: The objective is to evaluate the limit.

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: 1 lim x-5 I. Find

A: For x-&gt;5^+ , x-5 -&gt; 0^+So denominator equals to 0.We can not find the limit by plugging the…

Q: x²-9 -,x+-3 Q.1. Let f(x)={x-3 Find the value of k for which limf(x)%3Df(-3) x->-3 k-5k+6,x=-3

A: The function: fx=x2-9x-3x≠-3k2-5k+6x=-3

Q: y 2 -4 -2 2 4 lim h(x) x--3 lim h(x) -3* O lim h(x) X--3

A:

Q: Зx2 +2х-5 1. lim x-1 х-1

A:

Q: cos2x - 1 Evaluate lim x +0 ex – x - 1

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Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

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Q: メ+X-2 Lim. メ→ ーX 2

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Q: lim (x-7x – 2x+5) is infinity. |

A: Topic = Limits

Q: x2-x-6 lim Find: x-2

A: Given

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: (a) 1? - 9 lim --3 21? + 7t + 3 (ांच 1 (b) lim t/1 + t 4 lim x--4 4 +E x (c)

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

A:

Q: 5x? + 5y² - 2 Find lim (x.y)-(4, – 1) x? +y² +5 5x2 + 5y² - 2 lim (x.y)-(4, - 1) x + y² + 5 (Type an…

A: lim(x,y)→(4,-1)5x2+5y2-2x2+y2+5

Q: lim                ex - x - 1 / x2 x =&gt; 0

A: Given:

Q: Find each limit, if it exists.

A: Evaluate: 1. limx→∞ x2+2x3-12limx→∞ x2+2x2-13. limx→∞ x2+2x-1

Q: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

Q: 2r-1 ifr2

A: From the given piece-wise function, when x approaches -1 from the right then the function shows the…

Q: x° - 27 (b) lim x² -9 x→3

A: Given, limx→3x3-27x2-9

Q: lim F(x) =? x-2-

A:

Q: A. lim x? + 3 x -0 B. lim (2x + 5) x -2 C. lim (2x + x2) (2х + x-2

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 2x2-ху-у? x²-y² Evaluate lim (х.у) - (1,1) (2) 3. 2

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Q: Lim メ、+x-2 -『 メ -→1 2ナ+ メャ2

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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: x2-4x+1 2. Evaluate lim X-1 x-1

A: The given question has been solved in detail.

Q: ²+2x-8 Evaluate lim X-2 x-2

A: To evaluate: limx→2x2+2x-8x-2 Given limit is of 00 form, we can solve this limit using factorization…