3 (c) lim 6.x x-3 r2 – 9

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

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

Q: x2 5. lim X→ー8 e1

A:

Q: x2 + 5 2. lim 9x4+2x+4

A: limx->∞x2+59x4+2x+4

Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

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: x2 – 3x – 10 lim x+5 x2 – 10x + 25

A:

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: 3x* + x 29. lim x² - 8

A:

Q: 9x2 lim x+00 x+2

A:

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

A:

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: x* – 5x² lim x2

A:

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: 17x + 12x3 Calculate lim x+o -200x + 4x3

A:

Q: x-2 22. Evaluate lim x+2 Vx2-4

A:

Q: d) (x+27) -3 X lim-

A:

Q: 312+ t 17. lim .3 t-4t + 1

A: Given,limt→-∞ 3t2+tt3-4t +1Here denominator has degree 3 and numerator has degree 2.Thus,…

Q: Vx-3-V9-x 3. lim X-6

A: Solving the problem by finding the limit of th3 function.

Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: x* – 3x? + x 31. lim 200 23 – x + 2

A: please note the formulae limx→af(x).g(x)=limx→af(x).limx→ag(x)limx→∞f(x)=lim1x→0f(x) see step 2 for…

Q: lim Vx3 + 5x2 -10x + 25 10. *-4

A: The given expression is limx→ -4x3+5x2-10x+254