1ogx -[X] where,nÎ Nand[.]denotes the greatestinteger function. [x] Evaluate:lim- x®Y

Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: Given_lim_f(x) = 1 and lim_g(x) = 3, evaluate: x →6 9+x lim ( − 3f(x) + 4g(x)) = x →6

A:

Q: Show that - lim→∞ Xn = limn→∞(-Xn).

A: The objective of this question is to prove that the limit of a sequence multiplied by a negative…

Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: 7x If h(x) = (1 + 4)¹x, find lim h(x) X→∞

A: In the question is :h(x)=1+4x7xlimx→∞hx=limx→∞1+4x7x

Q: 2 メーズ Lim メ→&-X

A: Evaluate: limx→∞ex-x2ex-x

Q: Use L'Hôpital's rule 3. x3 x³ - 1 lim x1 x³ + 3x - 4

A: limx→1x3-1x3+3x-4

Q: X lim x→1x² + 4

A:

Q: Find limit of f(x) at x = -5,-3, 2, 4. -5 -2 O 3 6

A:

Q: .3 2x -3x lim Зx3 +4 Typ (Туp

A:

Q: lim レ+x- %3D X. x→0 e-X+1 x -x_ a Find the limit.

A:

Q: 9. True or false: lim x = -1 X+1 1= x² 11 -IN 2

A:

Q: lim

A:

Q: TT. J V lim_x²e-5x x→∞

A:

Q: 4x + 1 x + 5x a. lim 8x - x - 6 x ( 3x - 4) b. lim Зх + 9 3x 4x - 7 lim С.

A:

Q: If f(x) = 5x² − 5x + 31, evaluate lim_f(9 + h) − f(9) h→0 h If an answer does not exist, enter DNE.

A: given

Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.