.3 2x -3x lim Зx3 +4 Typ (Туp

Q: 1. Lim 2 x+3x+1 7x²-2x+4

A:

Q: QI/ Find the following 1. lim + 2 = 3 2. lim (5x – 4 +)

A: Simplification of the function and substitution of the point of limit helps to find the required…

Q: 1. lim -4x +7 = -1 X-2

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Q: Vx+5-3 b) lim x→4 х-4

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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

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Q: 7). lims X-1 メ→ド X-1

A: The value of the limit is, 4  The detailed solution is as follows below:

Q: 2z 4z +9 Find lim, oo 00 3z2 8

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Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: 2x2+3x 2. limx0x3+x+1

A: To find the limit

Q: x* +x² – 1 limx→c x²+5

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Q: 23. lim 3x-2 2+ 3

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Q: If lim,--2+95; (z + 4z) = x + iy, what is the value of x - y?

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Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: z? +1 lim z4-1 %3D i O -i o

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Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: 7- 6x5 19. lim X+0 x + 3

A: Our Aim is to evaluate the limit given below:-limx→+∞ 7-6x5x+3 -(i)

Q: 4x2 - 2x + 6 lim 2-400 -6x4 + 8r³ + x² + 7x + 4

A: Divide by x^4 by in both numerator and denominator

Q: - 1 32. lim 12-12 +3) ² +3. A 1 -1 D -4

A: We will solve this limit equation using L'hospital method.

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: 2x2-3x Find lim х-4 4x3-8х+13-

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Q: 5x2 - 2 25. lim x+3

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Q: a. lim+ 2* 3x² "

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Q: 3x - 7x x-0 2x - 15x d. lim

A: The aim of the problem is to evaluate: Concept used:Indeterminate forms often appear when dealing…

Q: poge( a). liun +3x=12X+4 x4X

A: The value of the limit is, (3/2) The detailed solution is as follows below:

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: 6xh + 3h2- 5h lim h-0

A: On directly substituting the limit, the indeterminate form 00 will be obtained. So, in such a way…

Q: sinar lim,-1 r-1

A: Given limit is  limr→1sinπrr-1 Evaluate the limit. limr→1sinπrr-1=00 indeterminate form

Q: 0.Lim ュー)×40,2 メ-2 メ→o “波 (1+x) - 1 4)Lim *キX メーフ。

A: In this question , we can find the limit .

Q: 4x lim *-3 2- V2х + 3

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Q: Find the limits

A:

Q: Find the limits

A: The given expression is limt→-1t2+3t+2t2-t-2

Q: de 4 V4x* +3 lim 5x +4

A: Divide the Numerator and denominator of the given expression by x2