Find the limits justi ly why the limit does nt aut or リ Pas 11-x1 b) lim fa) メ-1 2) lim *tメ-?

Q: 2x2-5x-3 Vx+2-3 a) lim x→3 b) lim x→7 x-7 2х-6

A: Solution

Q: lim 4x²e sin) sin

A:

Q: Prove the limit and show the theorms used.

A:

Q: ズ Evaluate lim ズ-1 オ→1" O a) +08

A: To evaluate: limx→ 1+xx-1

Q: Compute the indicated limits. 2x + 5 lim cos 3x? + 2x – 5

A:

Q: (a) lim (ln(5x³ + 4) — ln(x³ + x + 7)) x→∞

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: b) lim, . sin(8z)

A:

Q: 13) lim (n z 2-70 24) lim e- é- ース x - sinx 34) lim (Csx - Cotx)

A: Wherever applicable we used L'Hopital rule

Q: e* a) lim x-0o x2-5 3 In x b) lim x0 ex+5

A: a) limx→∞exx2-5∞∞ form=L'Hlimx→∞ex2x∞∞ form=limx→∞ex2L'H=∞

Q: 1-cos (3x) x² a) lim- X-0 xm-am x-a x-at b) lim 1-c0SX X=0 X+COSX c). lim

A:

Q: 6) Find the limet lim Cう(0)) メye 2. メッリ

A:

Q: compure the limit ) um X-7-3 X3-9x 6+2X Sin/2x) 2) lim sini2x) X-7ut x2 3 X 3) lim X-7-00 イ4メ2tメt5

A: Given: -

Q: evaluate the limit メ Sinx lim メラ - CeSX

A:

Q: secies to find lim use

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Q: Find the limit of the squence. {sqrt(2), sqrt(2 sqrt(2)), sqrt(2 sqrt(2 sqrt2))), ...}

A: simple form.

Q: Evaluate the following limits: x + sinx lim х-оо 2х + 5 lim - х-0 tan3x 1- Vx lim x-1 1 - xX x. Sinx…

A: