8-x lim - >2 (x-2)(x+1) is O a) -4.

Q: 81 5x³ + 2x + 7 lim In x³ -11x2 + 55x + 10 (3)A (8+()+ s)l

A:

Q: 22. lim √x + 6 x 3 x + 2

A: To find :-

Q: 7. (2x - 1)5 lim x → +∞ (3x² + 2x - 7)(x³ - 9x)

A:

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

A:

Q: x' - 4x? – 9x+36 lim b) x - x-12 x-3 e* -e* – 2x lim c) x- sin x

A: limx→-3x3-4x2-9x+36x2-x-12=limx→-3x2x-4-9x-4x2-4x+3x-12=limx→-3x2-9x-4xx-4+3x-4=limx→-3x2-32x-4x-4x+…

Q: 2 2 2- lim √√x²+4x-√x²+5 X-X

A: To find the limit as ( x ) approaches infinity for the expression (x2+4x​−x2+5​), we can simplify it…

Q: 22. lim √x + 6 x 3 x + 2

A:

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: lim (√x³ – 5x² – x) _ x →∞

A:

Q: 8. lim x 0 √x²+4-2 x2

A:

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: 29. lim (25t2 + 2 – 5t)

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

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

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

A: Given :

Q: √r +3 6) lim- √r-9 644

A:

Q: lim 6ex - 4 X→4

A:

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

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

Q: . Find lim (8x + x³ + 2x² – 5x – 3)/(4x + 2x³ + 25x² + 4x + 6)

A: