lim (x2 – x')e?* X -

Q: 7) lim (Ln(x) – x) X→∞

A:

Q: 1 lim- x+ In x 2 dt =? e

A:

Q: 1-cos(x) Find lim x-0 2x

A:

Q: lim (In(x))½ ?

A:

Q: 8. (x - 1) dx √x lim

A:

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 secx -co tx メーマ

A:

Q: lim In x X-→ 0+

A:

Q: 4. Lim log1/2 x x-2 sin 2x 5. Lim

A:

Q: 1 lim (Lnx)x

A: To find limx→∞lnx1x

Q: -2x lim (e cOs x) х) x → 00

A:

Q: will lim n-00 In(x)dx lim fn(x)dx?

A: Given that, fnx=2n2x;x≤12n2n1-nx;12n<x≤1n0;1n<x where , fnx on 0,1 It is possible to take…

Q: lim In(r) - 0t

A: Consider the given limit

Q: lim tan^-1 x divided by x where x is 0 would that be considered undefined?

A:

Q: Evaluate

A: Given, limx→1+1lnx-1x-1

Q: 1. lim In (x –9) 2. lim log, (8x-x*) x3* x-2" 3. lim In (cos x) 4. lim In (sin x)

A:

Q: If you initially invest $1 at an interest rate of 2% compounded n times per year, the value of the…

A: NOTE: Refresh your page if you can't see any equations. . the given formula is  now apply limit

Q: eax lim x → 0 In(1+ bx) -ах e

A:

Q: b- lim [In(cos(x))]= x->0

A: Given that:limx→0[ln(cosx)]x

Q: lim x-x 10 √x + (Inx)¹0 +5 3√x + (lnx) ¹00 + 10

A:

Q: H.W. Find x-sinx 1. lim X-0 x-tanx

A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

A:

Q: -e lim te Int - 1

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Q: Inx lim X+o x3 lim- x-0 ex - x2 - 1 lim- 0 sin'3x

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Q: d. lim h(x) Preview e. lim h(x) = x→00 Preview f. lim h(x) = 00--x

A:

Q: xsinx lim x→0 e*+e¯x-2cosx

A: Since, we have been given up the expression:-limx→0 x sin (x)ex+e-x-2 cos (x)-(i)Since,on applying…

Q: 1. lim x²-1 al 2. Tく-X b) lim X-Sin 2x +3 c) lim Vey?-x

A: Given- limx→1x2-1x10-1

Q: lim (s_)( stl 5+g?

A:

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: lim 4y° + Jy18 – 1 -00

A: Given that: limy→-∞4y9+y18-1

Q: • lim In (tanx) -Lーえ • Lim V9x* + ax 2 4x-1

A:

Q: (c) lim 1 In x x→0+

A: To find out the limit

Q: |x| lim e* +- + x2 X→0-

A:

Q: x In x (b) lim IH0 x + ln x

A: We will evaluate the given limit as shown below by using l hospital rule

Q: 1) lim-sinxr x-0

A: given equation is     limx-->0  (x-sinx) / x³ ** L hospital rule =>    limx-->0  f(x) /…

Q: lim log, (cosx) -3 t 2.

A: Here we can see that applying the limit, the limit does not enter into an indeterminate form, so we…

Q: 3x e - е -3x e 25. lim -3x + e 3x

A: Finding the limit of the given expression

Q: * limt (x-sinx)\ x+1 10 log x^2+3 O 0.5

A:

Q: x2 lim X→0 e5x

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Q: 4 ) lim- (x-.tanx 17

A: Use simple result of limit

Q: 399. [T] lim e(x - 1) x-1 x-1

A:

Q: lim ln (x ") 14 6x

A: Given : limx→∞lnx146x

Q: how do you express lim,,→ Li=1 Σ! as п 1+ definite integral

A: We know that

Q: 5 sin(6x) lim x→0 3x

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Q: lim Vz+6-V6

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Q: 73. lim In(cos x)

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Q: lim tan x x- ->

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Q: 1 x |=? Use L'Hospital's Rule 4 lim- 5 arctan -4 arctan 5 xVx

A:

Q: 2x e* –1 lim- x→0 sin (2x)

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.