lim x csc x

Q: 4x³ + sin x lim 2x3 + 3

A: Given : limx→∞4x3+sinx2x3+3

Q: lim x→0+ In x

A: l=limx→0+xln(x)l=0ln(0)l=00which is in indetermine…

Q: CSC X lim (secx t tans scx

A: To find the limit by using L-hospital rule L-hospital rule is  For limit(x tends to a) f(x)/g(x)…

Q: I am trying to figure out the answer to this problem using L'Hopital's rule. please show all steps.…

A: Given,           limx→02xx+3-3

Q: lim (In x- In (sin x))

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Q: lim 4x²e sin) sin

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Q: Compute the limit below. Justify your answer. (You will receive no credit without showing work and…

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Q: Can the Quotient Law be applied to evaluate lim sin x -? Explain. x+0 X

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Q: Evaluate limx-->2 (sin(x-2))/(x^2+4x-12) Without L'Hospital's rule.

A: limx-->2 (sin(x-2))/(x^2+4x-12)Numerator = sin(x-2)Denominator = x2 + 4x - 12 = x2 +6x - 2x - 12…

Q: arctan (2.x) 7. A) Compute lim arcsin (3x)

A: given,      limx→0tan-12x2sin-13x2

Q: Find the limits, using l’Hopital’s Rule where appropriate. If there is a more elementary method, you…

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Q: Transform the function lim x+5x² +3- x²) into an equivalent quotients to en apply L'hopital's rule.

A: Given that limx→∞x4+5x2+3−x2. Multiply x4+5x2+3+x2 by numerator and denominator both…

Q: Show the steps needed to evaluate lim(1+ )". Use L'Hospital's Rule.

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Q: 3 Prove limx = 00 by the definition.

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Q: Find the limits sin (sinx) lim

A: limx→0sinsinxx

Q: Use L'Hopitals's rule to find lim →号 tan x n · 4/(2x-T)

A: L hospitals rule

Q: Evaluate without use of Hopital's rule: tanx-sinx 1) lim-0

A: using expansion of trignometric function

Q: 3x tan(2x Use L'Hopital's rule to evaluate lim sin(4x)

A: Using l hospital rule we have

Q: Use a tble of functional values to evaluate: lim 2²–1| x-1

A: Given, We will calculate the value at some points and then will calculate the limit of given…

Q: 1-cosx 16. lim X-0 3x sin x

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Q: Evaluate limx-->0 (tan 9x)/(sin 4x) Without using L'Hospital's rule.

A: Obtain the limit without using L’Hospital rule as follows.

Q: lim - arcsinx と20

A: To find limx → 0 x - arc sin xx3

Q: Use L'Hopital's rule to evaluate lim(1 – 2 sinh(x)) sch(a).

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Q: Use L’Hopital’s rule to show that limx→π/2 2 tan x/sec2 x = 0

A: Use L’Hopital’s rule to show that limx→π22tanxsec2x=0

Q: lim (x – arcsin x) csc³ x→0 -1/6 О 113 O 3

A: In the given question we have to find the limit of the function f(x)=(x-sin-1x)csc3x  when x goes to…

Q: lim sec lim sec, = sec π.Χ. TEX JUI nin

A: given graph of f(x)=secπx4

Q: B] Using L'Hopital's rule, Find lim y.In

A: Given: limy→∞y.lny+1y-1 Apply L Hopital's Rule. limy→∞y.lny+1y-1=limy→∞y.lnddyy+1ddyy-1

Q: Lim Arcsinx - sinx

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Q: Find limit sinax lim x→0 sinbx

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Q: Find the limits in Exercis

A: Given, limt→0sin1-cos t1-cos t

Q: 1 If the given limit is lim(1 + sin x)tan x, Solve using l'hopital's rule and evaluate. (Show your…

A: Apply l hopital rule.

Q: lim X- Sin X X3

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Q: Use L'Hopitals's rule to find lim (2 – x)tan(ra/2). (Tx x→1

A: We use elogu=u and l- hospital rules in this question to find limit.

Q: 6. lim (sinx)*

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Q: Evaluate exactly lim(1 + sinx)2cot: x→0

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Q: 6x +55 –5 lim X +5 x+ -5

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Q: 2.) lim cot x- sin 2x cotx-1 3.) lim x0 cotx+1

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Q: tan(4x) lim sin x [Hint: Use the fact that lim,→0 = 1.]

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Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: olve using L'Hopital's Rule 9. Lim

A: Here the given limit is  y=limx→0(1+x2)csc2x

Q: lim x→め x th

A: Let L=limx→∞4+x2x

Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

A: To find the limit- limx→01-cos(2x)x2

Q: Q1. Using Lopital Rule ,Find :lim -cos

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Lim sin x X0 Cos 2x -cosX

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Q: By using Sandwich Theorem, prove that lim sin x

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Q: lim

A: use the l hospital rule to find the limit

Q: sin(3x – 3) lim x² – 1

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Q: lim- XVx 1 5 arctan 4 arctan 5 ? Use L'Hospital's Rule 4

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Q: et – e-T lim r40 x2 + 3

A: