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

Q: the limits if it exists, if it does not explain why. (1) lim ()" (ii) lim

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Q: 2 4. lim x-3+ \3-x 4 9-x2,

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Q: mpute lim x→0 In (1+ x)

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Q: find the limit or explain why it does not exist.

A: Limit functions generally have indeterminate forms meaning after putting the limit at some point,…

Q: Use a tble of functional values to evaluate: lim 12 z-2

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Q: Use L'Hopital's Rule to evaluate the exact value of lim(x² – 2x+1)*-1.

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

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Q: What is lim In x? x→2

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Q: The value of lim (xe- x) will be ...

A: It is given that limx→∞xe-1-x.

Q: How do you evaluate the limit:  limx-->0  (sin(4x))/9x WITHOUT using L'Hospital's Rule?

A: A property:L'Hospital's Rule is not necessary here.The following is an important property used in…

Q: 3 Prove limx = 00 by the definition.

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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: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

Q: find the limit or explain why it does not exist.

A: To find the limit  limx→π sec x = ?

Q: use definition of limit to show:   lim    (4x + 1) =13 x->3

A: The definition of limit:

Q: Find the limits limx→ -∞tan-1 x

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Q: Suppose neither limx→0 f(x) nor limx→0 g(x) exists. Show that limx→0 [f(x)g(x)] may exist.

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Q: 1 1 lim xV1+x

A: limx→01x1+x-1x=limx→01-1+xx1+x

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: find the limit or explain why it does not exist.

A: Given:             limx→4ex−e4x−4

Q: Suppose that ƒ is an odd function of x. Does knowing that limx →0+ ƒ(x) = 3 tell you anything about…

A: Given that f(x) is an odd function.  So, f(-x)= -f(x) Given that lim x →0+ ƒ(x) = 3

Q: Using the epsilon-delta criteria, our aim is to show that lim = 21.

A: In the given problem we have to show that…

Q: Evaluate limx-->0 (sin^2 2x)/(2x) Without using L'Hospital's rule.

A: The given funtion is (sin^2(2x))/2x for the limit x tends to 0.

Q: - lim a sin

A: We have to find limit using l'Hospital Rule

Q: Show that

A: Here we have to show that;  limx→-∞1x

Q: Use I'hospials rule to fidy value lim (4“ +7*)= X¬00

A: Please see the explanation below

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: Find the limits

A: limx→-∞tan-1x

Q: lim (3x + 5) = 2, x→-1

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Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: Evaluate lim-[(sinx-x)/x³] by u

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Q: 1. Using L'Hospital's rule, evaluate lim(1 – x²).

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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: Find the limit (if it exists). If it does not exist, explain why.

A: limx→0-xx

Q: Find the limit by using l'Hôpital's Rule. ( limx-14³-x-3

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Q: Show the steps needed to evaluate lim(1 + )"

A: We will solve the following using binomial expansion.

Q: Find the limit or show that it doesn't exist. 1-х-х2 a) limx→-o 2х2-7 V1+4x6 b) limx 2-х3

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Q: Lim (Ln x) L'Haspital Hos

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Q: Find lim (1+ D (if it exists)

A: We have to find the value of the given limit: limx→∞1+1xx Here given limit is in 1∞ indeterminate…

Q: Find the value of lim tanx

A: As per our guidelines we only solve question number 1 . If you want the solution of other parts…

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: find the limit limx -> 3 of [root(x+6) -x] / (x^3 - 3x^2)

A: To determine the limit of given function.

Q: Suppose that limx→2[f(x)+x2]=α. Find  limx→1(x+1)f(2x)

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Q: By using the e- & definition, show that lim 2² + X 4 = 1.

A: By the €-δ definition of limit,

Q: 1) If lim f(x) = , what asymptotic behavior will be illustrated in the graph of f (x)?

A: 1) If limx→6-fx=∞, then the value of the function fx tends to infinity as x→6 from the left hand…

Q: Evaluate lim→» V3 - cos x

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Q: Evaluate the limit. x2 – 2x + sinr lim

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Q: lim (Vx2 + 4x + x)

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Q: Find the limits limx→∞csc-1 x

A: Given:limx→∞ csc-1x

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.