limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

Q: Guess the value of lim x 0 sinx/x

A: We try to find the limit by substitution  But 0/0 is indeterminate form.

Q: Lim secx -co tx メーマ

A:

Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

A:

Q: lim et- ハ→0 ¥

A:

Q: Find: tanx-sinx d) lim x3 4.

A:

Q: Let ƒ(x) = (x2 - 1)/(| x| - 1). a. Make tables of the values of ƒ at values of x that approach c =…

A: a) When x is near -1 then x is negative.  For negative x, we have |x|=-x Using this we simplify the…

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

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: 6x-sin 2x 2x+3sin 4x 15. lim

A: Since you have asked multiple questions in single request. So we will answering only first question.

Q: Use a table of values to estimate the value of the limit (correct to three decimal places). If you…

A: In the given question, we have to estimate the limit of the function by using the table and graph.…

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: What are limx→+-∞ k (k a constant) and limx→+-∞ (1/x)? How doyou extend these results to other…

A: limx→af(x)=L means f(x) becomes arbitrarily close to L as long as x is sufficiently close to a.  We…

Q: If limx→0+ ƒ(x) = A and limx→0- ƒ(x) = B,find limx→0+ ƒ(x3 - x)

A: Given: limx→0+fx=A,limx→0-fx=B we have to find limx→0+fx3-x we know that if x∈0,1 then x3<x

Q: lim == - 1

A: The objective is state whether limz→0zz=-1 is true or false.

Q: Numerically estimate accurate to 2 decimal places of lim x -> 0 ((2^x -1)/(x))

A:

Q: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

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Q: Give an example of a function that is not continuous at x = 2 but limx→2 f(x) = 1

A: choose any equation of line such that f(2)=1 but the function function f(x) should be discontinued…

Q: 2-V2(3x+1) 2x limx-1 X-1

A: we have to calculate;  limx→12x2-2(3x+1)+2x-1

Q: : limx->0(1/x3)

A: We have to simplify the given expression. The given expression is limx→01x3∫0xt2t4+1dt

Q: 3. Evaluate: lim -) X-0 sinx

A:

Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

A:

Q: if limxn = x, limyn = y, proof: limxnyn = xy.

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Q: limx-0

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Q: lim cotx As x approaches pi from the left side

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Q: State the definition of the derivative of a function f. Use the definition of the derivative to…

A:

Q: lim (In x)

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

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

Q: lim メ→02-V4+x Calculate

A: We have to find the limit of the given function.

Q: csc x- cot x lim is

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: Evaluate lim-[(sinx-x)/x³] by u

A:

Q: Using L'Hospitals Rule, what is limx->infinity (ex + x)(9/x)

A: Given information.

Q: If limx→0+ ƒ(x) = A and limx→0- ƒ(x) = B,find limx→0+ ƒ(x2 - x4)

A: Given: limx→0+fx=A, limx→0-fx=B we know that when x=0+, f0+2>f0+4 so, given limit will be…

Q: limx.

A: we have to find the limit of limx→0+x1x

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: - lim SinTX メー→ メ ー」

A: We need to evaluate limx→ 1sinπxx-1.

Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: 1f. lim (tanx)x x->0+

A: Given,

Q: Evaluate: lim --> 0 (x-tanx)/xsin2x

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Q: lim xi-

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Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: lim Vz+6-V6

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Q: Prove that limx→4 √ x = 2 using the ε-δ-definition

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Q: x²-q² lim

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Q: Evaluate lim x->2 (x^2 - 4x + 4) / tan^2 (x^2 - 4) without using L'Hopital's Rule.

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Q: lim as x goes to 0 (sin(2x)+7x2 - 2x / x4 + 2x3 + x2)

A:

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.