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: 1。 他 しん Use te limit definition to prove that the limit is correct. lim fcx) - 2, where fuxd 2x, X 7…

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Q: n gn d limit result ing from Ratio Test

A: The given series is ∑n=1∞-9nn38n According to the ratio test the limit is limn∞an+1an Therefore,…

Q: 2/E5Limf)=3-5 and Lim fo=65 メー→2 the function has a double sided limit oronsided Limit 2

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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

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Q: Prove the limit and show the theorms used.

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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

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Q: Find the limits 51. lim x/1-4) 52. lim x-1)

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

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: Let ginl=√1+an To find: (i) g'(x) cliij Domain of g(x) Domain of gix. Q using definition @ g'xl lim…

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

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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: Q) Find the limit of the * : following 1 im 1+Cos– 2 3 1 ООО

A: to find the limx→∞1+cos1x limx→∞1+cos1x=limx→∞1+limx→∞cos1x

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: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

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

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

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Q: f(z)' lim Z→Zo Lg(z). A В

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Q: lim Use L'Hopital's Rules to calculate the limits: →1 r-1 Answer

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Q: O Find the limit (it it exists) 3. lim b.) lim xy ty? の) ベッ)→ (o,d) 2 6- モx X9२ - । x² +yk

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Q: G Eulah the but [e-)(3-2:)41-3,] lim Z-> 2ti and use the the limit

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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

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Q: evaluate the limit メ Sinx lim メラ - CeSX

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Q: secies to find lim use

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Q: hesaplayınız. tan tdt a) lim 140 7x b) lim In x e e-x-1 c) lim cos x-1

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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: lim cos x+ COS X 7-2x 0-

A: To find : limx→-∞cosx+x7-2x. Concept used: Property of sum of limits.…

Q: 4.) lim x-0 sin 3x 1-cos e 5.) lim X-4 6.) lim x+7- Ix-4|

A: Solutions:

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…

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