(In x)² lim

Q: Prove that lim +1) = 3 using the e--definition.

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Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: lim (In(x))½ ?

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Q: sec x -1 lim -

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Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

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

Q: lim In x X-→ 0+

A:

Q: 2х + x 1. lim

A: Consider the limit  limx→02x+xx

Q: lim In(r) - 0t

A: Consider the given limit

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

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Q: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

Q: find: a) Lim x4-1 x2 b). Lim 10x-3 SinX

A: We have to find the following limit      alimx→1x4-1x2-1       blimx→010x-3sinxx

Q: tan (2x) 3. 24. lim- %3D .3

A: We replace tan(2x) by sin(2x)cos(2x)…

Q: Find the limits

A: Given Data The limit is limx→-32-x2-5x+3.   Solve the given limit expression,…

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

A: limn→∞-1nn+12n

Q: 1 lim x→11-x .3 —х 1-х*

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Q: Show that 2n lim n+2 = 2,

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Q: lim x In(2x) x→0+

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Q: lim (In w-

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Q: lim In (x°) x2

A: We have to evaluate the given limit.

Q: Find the limit.

A: We can find the limit of an expression by applying the limit point as value of the variable in the…

Q: lim (In x) x→0+

A: Given,          limx→0+lnx

Q: b. lim -4 In x tan(4x)]

A: Solution:

Q: Prove that lim x 2 = 4. x→ 2

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Q: 3 x' tan (x) lim - 3 4x* + 2х-1

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Q: lim In(x+3) 4) 1

A: Evaluate :     limx→∞ln3xlnx+3

Q: Find the limit.

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Q: Using e – N description to prove that lim - = 0.

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Q: х2—1 lim х-1+ In(x)

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Q: ,2 30. lim x In x

A: Topic = Limits

Q: tan(x) Q1: limx¬n X-n is

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Q: 3* –1 lim V1+x -1,

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Q: √2+x-√2-x X lim- --0

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Q: 21) lim x-4/In x X-0+

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Q: lim (In(3x + 1) – In(2x + 1))

A: To evaluate the below limit

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: In x 6. lim, x

A: Solution:

Q: 2 In x lim x→+∞

A:

Q: lim In(10x) x-0t

A: To find the below right-hand limit.

Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: lim, S(x), given 7-4x. x < 1 S(x) = { %3D x² + 2 x 21

A: Given: fx=7-4x,  x&lt;1x2+2,  x≥1

Q: Find the limit.

A: Given,

Q: 3. Prove lim 3x-7= 2 X-3

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Q: Evaluate

A: Given: The limit expression as limx→∞lnxx To find: The value of given expression.

Q: 2) If 2 – x2 < f (x) < 2+ 3x² whenever -1 < x < 1, use limit theorems to find lim0 f (x). Give all…

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Q: d. lim+ In 1000 X X5

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Q: 2tan x- x lim, -1 2х -sin " x,

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Q: Q show that lim %3D メ→ 0-1

A: We have to show that limx→0.11x=10 L.H.S : limx→0.11x           =10.1               (plug in the…