%3D 2, Question 2 x-3x-4 = (x)/ JI I+x what is lim f(x)? (A) -5 (C) 2 (D) 3 (E) Does not exist 券 A. Question 3 2x'-5x'+10 lim 20 - 4x-x (A)-2 (B) 2. (a)

Q: x²-2x-3 lim a. (x-3)3 2-2r-3 x-3 (x-3)' x² - 2x-3 b. lim x² - 2x-3 lim 33 (x-3)3 c.

A: x→3+ limx2-2x-3(x-3)3=x→3+lim(x-3)(x+1)(x-3)3=x→3+limx+1(x-3)2=∞

Q: f (x) -f (2) The value of lim X-2 if f (x) = 2x2+1 x-2 A 2 B) 4 C 8 D) does not exist

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Q: V-x-2-V3 Evaluate lim -x- 5 Enter an exact answer.

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

Q: →0 (2a−3/2a+ 5)^(2a+1) should i use lhopital or direct substitute the value of

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Q: 21 f(x)= 3x2 +4x +1 and g(x) = x2 -2x-3, then what is lim f(x) *→19(x)?

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Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: xV1-3x lim | V1-4x3 I-00 %3D

A: Suppose L is limit value of given Limt

Q: What is lim 2 (x - 2)

A: Given

Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: 19) lim (x2 4x - x) +

A:

Q: '5x2+3х-1) lim = 4x2+5) n-00

A: Divide the numerator and denominator by the highest power i.e. x^2 and simplify the limit.

Q: a) lim 2+1 - 2x - 5 (2x - 1)³

A: Topic:- calculus

Q: x2-4 lim x--2 x2+4x+4

A: In this question, we have to find the limit of a function which is of the form 0/0.

Q: x2 -x-2 lim 12 x- 2x X-2

A:

Q: 2.x2 + x – 2 7. Compute lim Justify your answer A number is not 7x2 – 3x +1 enough.

A: The objective  is computing the above limit.

Q: x3+27 b. lim x--3 x+3 hint: a3 + b3 = (a + b) (a2 – ab + b2)

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Q: Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8…

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Q: +1 limx0 t2+1

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: x3 - x2 - 5x lim x-1 - 2 (x + 1)2.

A:

Q: S 3x + 2 x² + 3x – 1 I-2 |

A: Given that: f(x)=3x+2            x<-2x2+3x-1   x≥-2

Q: x3/245 (B) Find limyJ+4

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Q: (e) lim V9r2 +x-3r %3D

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Q: lim m 42 -1 t² +1-2 ܐܝ: (b

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Q: 7) lim (-2x3 + 3x-1) X=00

A: We have to find limx→−∞​(−2x3+3x−1).By applying Infinity Property that…

Q: lim 2 + 9x° (1 + x ) ( 3 + x* )

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 53-5 Va - 5 (d) lim x25 x- 25 Hint: Multiply the numerator and denominator by the conjugate of the…

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Q: 5z 3z (a) Evaluate limz-»00

A: Limit of a function is a value obtained when the variable in a function approaches to some other…