0/0 Form Estimate the value of 21 – (3x + 1)V + 2 lim by graphing. Then confirm your estimate with l'Hôpital's Rule.

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

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

A:

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

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

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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: (a) Find the equation of the tangent line to the curve 4x y-3x2 +5y = 10, at the point (1,-1).…

A: a)

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

A: Given: limx→-210x+29-3x+2

Q: 2) For lim (5x)4*, do not evaluate! x→0+ a) Which indeterminant form is the expression? b) Set up…

A: a) The given limit expression  =limx→0+5x4x=00 form

Q: What is lim ? X-0+ x

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

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Q: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

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: Let F(x) = (x2 + 3x + 2)/(2 - | x | ). Make tables of values of F at values of x that approach c =…

A: Given: Fx=x2+3x+22-x To determine: We have to estimate limx→-2Fx by making a table of values of F at…

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

A: Given:             limx→4ex−e4x−4

Q: 9. Build a table to estimate lim sin - (Hint: Use multiples of T) (x³ - 3x2 + 6– 2x) 10. Use a table…

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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: : limx->0(1/x3)

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

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: 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

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Q: Q.5 (a) Find radius and height of right circular cylinder of largest volume that can be inscribed in…

A: (a) First draw the figure,   Let r, h, V be the radius of base, height and volume of the cylinder…

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ>0, there exists a…

Q: secies to find lim use

A:

Q: 27. lim x* r-0+

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: using L'Hospital's Rule, what is limx->1+ (1/x-1) - (1/lnx)

A: compute the limit as follows.

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: Use L'H rule to find lim (1 – 2x)/*. -

A: Question is solved.

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: Q/Calculate limit statement lim sinx-cost XT 4 1-4

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Q: 9. Build a table to estimate lim sin 1 (Hint: Use multiples of T) (x³ – 3x2 + +6– 2x) 10. Use a…

A: As per the guidelines we are suppose to answer only one question. Please repost the remaining…

Q: Use a table of values to estimate the value of the limit. If you have a graphing device, use it to…

A: Given lim x→0 [(6^x-5^x)/x] If we put the variable value x=0 in the given function we get…

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: Consider the function…

A: The graph of f is as follows:

Q: We have lim I- a Vsing 1-x = (- Fa)(+Ta) So, lim 1- Fa lim - a 거- (1-「 (i+Tx) %3D lim ス→) as 1+ T…

A: Yes your solution is correct

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

A: We have given the limit- limx→52x2-9x-57x-35 We have to compute the value of the given function.

Q: ¤ – z² lim +1 1- ya

A: Here we find limx→1x-x21-x.

Q: sin' 2x d) lim- x-0 sin' 3x

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

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Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

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

A: