-) Compute lim_(sec r – tan x).

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A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: 3-v49 B) Without using L'Hopital's rule, find: lim

A:

Q: Find the limit or determine that the limit does not exist limx→0 (1/(x√1+x) - 1/x) 1+ x is all…

A: The given function is, Simplify and rationalize the numerator of  the given function as follows.

Q: of Quolients. 17. lim Imit Se -dy

A:

Q: x* +x + 2x+2 lim x-1 x+1

A:

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 1 + X00

A: Let, L=limx→∞1+1xxlnL=limx→∞ln1+1xx⇒lnL=lim x x→∞ln1+1x

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A:

Q: Find the limits in Exercise

A: To find the limit of

Q: Find the limits in Exercise

A: If we have a function what says limx→c+f(x), this means that the value of x approaches c from the…

Q: tan 3h 3. Estimate the value of lim,0- by creating a table of function values for h h = 0.01,0.001,…

A: We need to substitute these values of h in function f(h) to evaluate limit

Q: 2* lim x→0 x²

A:

Q: 18.L. Define what is meant by lim sup f = L, lim inf f : = -- ¤. %3D

A: Given that limx→+∞sup f=L, limx→+∞in f=-∞ The meaning for the limx→+∞sup f=L is, There exist M>0…

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

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

Q: 1 1 lim xV1+x

A: limx→01x1+x-1x=limx→01-1+xx1+x

Q: Find the limits limx→∞sec-1 x

A: In x=sec(y) , as y approaches π/2 from the left then x approaches ∞ So, in y=sec-1(x) as x…

Q: Use the Squeeze Theorem to evaluate lim sin(tan x) sech(secx).

A: It is required to calculate the limit limx→π2-sintanxsechsecx. The squeeze theorem states that "Let…

Q: Use the Squeeze Theorem to evaluate lim sin(tan r) sech(secr). ес

A:

Q: Evaluate: 1- cos(x) 3x2 lim Express your answer in 4 decimal places.

A: According to question,Given limit,limx→0 1- cos x3x2

Q: lim In(z – 1) – In(x“ – 1) = %3D

A: Given

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: & Prove that lim I = 2 using the e-d-definition. Hint: Vr %3D

A: Given: To explain the given statement as follows, Here, prove that limx→4 x = 2.

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: hey you didnt state the assumptions of the model and the limintations as well

A: To state: Assumptions and limitations of an exponential model.

Q: Vax +9-3 lim What is the value of a if 3D1?

A:

Q: Find the one-sided limit (if it exists).

A: Given limit: limx→12-xsecx

Q: Use the Squeeze Theorem to show that lim (x2 sin(2)) = 0 x-0 %3D

A:

Q: swer of the following lim 2x²+6y² lim (x,y)→(0,0) x²+y²

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Q: L'Haspital X-rileniz lim

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Q: y = b Retrieved from:basiccalc_initial_release_13june.pdf 1. lim b 2. lim エ→1.2 3. lim b エ→ー1

A:

Q: I. Apply the different techniques in evaluating the each item, you have to show your work at each…

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Q: secies to find lim use

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Q: ve that lim 1 by definition.

A:

Q: Explain why f(x, y) must approach a unique number L as (x, y) approaches (a, b) along all paths in…

A: We have to explain why fx,y must approach a unique L as x,y approachesa,b along all paths in the…

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

A: This question is indeterminate form of 1infinity and solved using L Hospital rule.

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

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Q: 1 1-cos x lim, →0 (sin

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

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Q: Lim (Ln x) L'Haspital Hos

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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: Use squeeze theorem to shoe that limx-> 2 (x-2)2 (3+sin(x2))= 0

A:

Q: Evaluate, use L'Hopital's rule when appropriate:   lim  (eax+x)1/x x->0…

A: Given that: limx→0(eax+x)1/x

Q: Evaluate using Theorem 2 as necessary.

A: Given: limx→0 x2sin2(x)

Q: sin(3x – 3) lim x² – 1

A:

Q: ¤ – z² lim +1 1- ya

A: Here we find limx→1x-x21-x.

Q: 3-Vx2+9 Without using L'Hopital's rule, find: lim-

A:

Q: B) Without using L'Hopital's rule, find: lim 3-Vx2+9 x2

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Q: et – e-T lim r40 x2 + 3

A: