Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5 x2-5x-1 1. (5) lim X-3 x-3

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: 16. lim x+3-3

A:

Q: 8) lim 2X - メーラ メ1x (-3

A: Here we have;  A=limx→32x2-x-15x|x-3|

Q: lim X->2 x²+3x-10 x²-4 = ?

A: To Find :The above limit

Q: х2-2х-3 6. lim х-з х2-4х+3

A:

Q: x-1-2 2) lim 1 1 Xー 2 2,

A:

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

A: Suppose L is limit value of given Limt

Q: 4x5+x³ -10 -? lim х-0о —7х5+x2+20 .3

A: Given: limx→∞4x5+x3-10-7x5+x2+20

Q: 25x2 - 70xy + 49y? Find lim by rewriting the fraction first. 5x - 7y (x.y)→(7,5) 5x + 7y 25x2 - 70xy…

A:

Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: xvx+1(1-/2x+3) 4. Compute lim 7-6x+4x2

A:

Q: (1) Evaluate the following x²+3x (a) lim x-0 бх-18 x²-5x (b) lim x-3 x-3 x²+5x+4 (c) lim x-0 (d) lim…

A:

Q: Vx-3 4x-x? 2- Vx V+ 8-3 x + 1 29. lim 9 x- 9 30. lim X- 1 i Vx + 3 - 2 V + 12-4 31. lim 32. lim x +…

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

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: f(x) = ax² + bx + 3, 1 2bx + 13a f(-2)=1 six −2

A:

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: r(x)=(5x−2)(x−1)2(x+2)(x+4)7x(x+2)(x−3)(x−5)2r(x)=(5x−2)(x−1)2(x+2)(x+4)7x(x+2)(x−3)(x−5)2. Indicate…

A:

Q: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

A:

Q: VZx+10+ V-5x+10 lim 8. →ー1 十1 - 2x3+ 3x-5x+1 lim 9. *-2 +4

A: It is given that     limx→-12x+103+x2-5x+10x2+1 We have to evaluate it.

Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: compute: Lim x2 + 12x -5 (x->1) Lim x+2/x2-4.    (x->1) Lim x2-9/x2-x-6 (x->3)

A:

Q: f(x + Ax) - f(x) f'(x) = lim %3D Ax Ax-0 Differentiate: f(x) = x² + 4x - 3 CHOICES: (Just type ONLY…

A: Using given first principle of derivatives

Q: x2-3x-9 lim x-8 4x2+29

A:

Q: limx²+x+I -| Glim 5-x? 5-22 - 2 ズー1 lim -6 -1

A: 4) limx→0x2+x+1-1x00 form=L'Hlimx→012x2+x+1(2x+x+1)-01=limx→02x+x2x2+x+1=0

Q: x2/3 16 18. lim

A: Given that: limx→64x2/3-16x-8

Q: 6x +55 –5 lim X +5 x+ -5

A:

Q: 8.) lim (-1+ x² – x³ + 3x*) 9.) x3-2x-1 lim x-3 co-X 2x2+3x+1 lim X+ 3x-5x+2 10.)

A:

Q: х3 - 5х + 2 lim 2х3 -7 А. О В. 1 С. D. 7 II

A: To evaluate limx→∞x3-5x+22x3-7