17. If lim- X- 200 – 4n + kn² then k =

Q: Evaluate lim x →∞ -6x²-x+6 -2x³ + x² + 5x +4

A:

Q: # 3) lim (2x - 4x2 - 5x+6) X→-3

A:

Q: 16. lim x+3-3

A:

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

A:

Q: x-5 lim - x-5x2 - 25

A:

Q: 1. + x+1 lim -1 /-

A:

Q: Vx² + 12 – 4 33. lim x-2 x-2

A: Explanation of the answer is as follows

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

A: We will factorise the numerator first

Q: -e g). lim [In(6x² + 5) – In(3x² – 6)] h). lim ズ→の

A: g) limx→∞ln6x2+5-ln3x2-6h) limx→-∞e2x-e-2xe2x+e-2x

Q: Linear combinations of linearly independent vectors are unique. Select one: O True O False

A:

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: 25) Find: lim,(x²+ax - √x² + bx).

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: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: √h+6-h 5) lim h-5h³-3h²

A:

Q: 29. lim (25t2 + 2 – 5t)

A: Given:          limt→∞25t2+2-5t Rationalize the expression…

Q: Зх + 5 3 lim V 6х — 8

A:

Q: 7x² +6 9. Lim x→ too 3xr – 7 土0

A: We have to evaluate given limit.

Q: 8) lim- x+1 2x²+2x+1

A:

Q: X 3 Solve for the lim 2-9 r+3 x2-9

A: Given that: limx→31x-13x2-9

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

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

A:

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

A: We can find the limit as below.

Q: Evaluate lim-5VE+4 t-1 t2-1

A: We can make it easier for you

Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

A:

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

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

Q: Gal Evalunte the fallowing: O lim 1 +31-10 1-5

A:

Q: 17. lim n00 10n + 12 10 +0

A: Given- limn→∞n10n+12=110 To prove- The above statement.

Q: 3.3) lim (1+ 3x2

A:

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.

Q: 2x3 6) lim- 3--3X²-4

A: we need to evaluate the expression limx→∞2x33x2-4 limx→∞2x33x2-4=2limx→∞x33x2-4

Q: 6x +4 10. Find lim x→→∞ √√4x²-x-5

A:

Q: 4 - V5t + 1 lim +3 vt +1– 2

A: Let L=limt→34-5t+1t+1-2