a) lim x-3 x+1 x2 – 4x + 4 b) lim x-2 x2 +x - 6 y? – 4y – 21 c) lim y-7 3y2 – 17y – 28 t3 +t2 – 5t + 3 d) lim t-1 t3 – 3t + 2

Q: Evaluate V(4z + 12) – 6 lim 3z- 18 None

A:

Q: lin

A:

Q: Evaluate 5x3 – 2x2 +3 lim - 8x + 4x - 1 00 A + 00 5 В 8 c) o D

A: Divide numerator and denominator by x3 and substitute the limit then simplify.

Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

A:

Q: lim, 6 8(x – 5)(x – 7) Answer: -8 4x2-9 lim3/2 2x+3 Answer: 0

A: The value of the given limits are –8 and 0 respectively.

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

A:

Q: Find the limits x2 – 4x + 8 lim I -00 3x

A: Given  We need to find the limit.

Q: T- 13x +40 What is the lim x2 + 4x 45

A:

Q: lim

A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: 7x – 9 lim x00 4x +3

A: Given limit:

Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

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: C. lim x-+3* X-3

A:

Q: Evaluate:

A: We can find the limit of an expression by applying the limit point as the value of the variable in…

Q: x2 – 3x – 10 lim x+5 x2 – 10x + 25

A:

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

A:

Q: 7x2 – 9 lim X-00 4.x +3

A:

Q: 7x² +6 9. Lim x→ too 3xr – 7 土0

A: We have to evaluate given limit.

Q: 9x2 lim x+00 x+2

A:

Q: 2r – 5x²/x Find lim x5/2 – 3x +1 — Зх + 1 X- 00

A:

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: If y = vb2 + x2 and y + Ay = Vb² + (x + Ax)² , what is the lim Y ? Ax0 Ax Select the correct…

A: Given, y=√(b2+x2) Δy=√[b2+(x+Δx)2]

Q: V9x2 + 4 96, lim x-0 6x +1 X00

A: Solve the limit

Q: Q.2 Find the lim, 2x-6|

A: Given, limx→3 2x-6

Q: Vx² + 5 – 3 lim Find x² – 4 x2

A: To find the limit: limx→2x2+5-3x2-4 Solution: It is 00 form. So, we we will use L-hospital rule. In…

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A: Limit for certain function exists if it returns some real value, and is not indeterminate. In case…

Q: t-15 - 3t + 45 Find lim Nt +85 –10 -t+15

A:

Q: x2 – 10x + 16 Calculate lim x→2 x2 – x - 2

A: Answer is  -2

Q: (2x- 1)1/2 – 3 Lim X-5

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Q: Evaluate V(2a +3) – 3 lim 4x – 12 1 12 1 3 None 3/4

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Q: 4х+2 1. lim 9x² -3 2

A:

Q: - lim V12 - 31-3

A: When limit is of the form 00 or ∞∞, then L-Hospital rule is used. In this rule, we take the…

Q: The value of lim (x³+2x4- 7x3- 5x²+ 11x – 15) X--2 (A) - 1 B) 1 2 (D -5

A: We need to evaluate limx→-2 x5+2x4-7x3-5x2+11x-15

Q: х3 — 7х — 6 - | lim x→3 2x3 – 11x² + 12x + 9 . -

A:

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: – 5x I lim 2x(1–5x) 7x² +3

A:

Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

A: