1 Only one of these calculations is correct to evaluate the limit lim 1 tanhx Select one: O im tanhx- x lim sech2x-1 2 tanhx sech2x lim = lim tanhx x tanhx x x sech-x+tanhx ) x→0(2x tanhx sech2x+2sech2x 1 1 O lim lim 1 =1-1=0- tanhx sech?x 1/x

Q: 3) For each limit below, state the indeterminate form that results by plugging in the limiting…

A: As per company's guidelines, we are supposed to solve first three sub-parts for you. Kindly repost…

Q: 1 Only one of these calculations is correct to evaluate the limit lim tanx x-0 Select one: 1 lim…

A: We have to choose the correct calculation.

Q: Only one of these calculations is correct to evaluate the limit lim xex Select one: O lim xe-x = lim…

A: To evaluate the limit

Q: To determine whether L'Hôpital's Rule applies to lim 18 follow the same procedure as in step 1. x-0…

A: We have to find limit

Q: Only one of these calculations is correct to evaluate 1 cosx the limit lim sinx x-0 Select one: sinx…

A: We need to evaluate the value of the following limit limx→01x-cosxsinx

Q: Evaluate the following limits: 8x3+27 lim- 4x2+12x+9 X -- 2 b.) lim (3x + v9x2 — 6х + 3) X -00 c.)…

A:

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric answer. In(x) lim Number x→1 x7 –1

A: The objective is to find the limit using I'Hospital's Rule ,and enter an exact numeric answer.

Q: 1 Only one of these calculations is correct to evaluate the limit lim sinhx, X+0 Select one: 1 lim…

A: We have to evaluate the following limit . I have explained in details please see the explanation and…

Q: Only one of these calculations is correct to evaluate the limit lim coshx sinhx Select one: 1 O im…

A:

Q: 34. Show that the Product Law cannot be used to evaluate the limit lim (x - ) tan x. xx/2

A:

Q: 5. Find the limit or show that it does not exist. sin(x – 1) lim 2 x→1 x´ + x -2

A:

Q: Find the limit for the following function by using L'Hopital's rule: tan-1x-tan-11 lim x-1 x2 – 1

A: limx→1tan-1x-tan-11x2-1

Q: lim x→0 sin(5x)/4x  (a) using regular techniques  (b) using L'Hôpital's Rule

A: Given, (a) limx→0 sin5x4x  Multiplying and divide by 5 limx→0 sin5x5x *54  1 * 5/4…

Q: Find the limit as x -> (+) or (-) oo (Infinity) using L'Hopitals Rule for: Lim as x->oo for (ln…

A:

Q: How many times do you have to apply L'Hopitaľ's rule to evaluate the limit x- sinhx lim x-0 x sinx…

A: Given limx→0x-sinhxxsinx

Q: Find the limit (if it exists) (а) lim x — 5 (b) lim 5 x-243 x2 + 6x + 8 (c) lim x--2 x + 2 sin x (d)…

A:

Q: Only one of these calculations is correct to evaluate the limit lim - - cscx Select one: 1 |= 1-1=0…

A: Evaluate the limit.limx→01x-cscx

Q: 4. For each of the limits below, indicate whether l'Hopital's rule applies. For those that do,…

A:

Q: Only one of these calculations is correct to evaluate the limit lim xtanhx x-0+ Select one: lim…

A:

Q: Use l'Hopital's Rule to evaluate the limit. lim x-0 sin x O 1 O-1

A:

Q: Only one of these calculations is correct to evaluate the limit lim CSCX Select one: O im sinx +x…

A: Solution

Q: Use l'Hopital's rule to find the limit. 20 lim x sin- O 1 O 20 O 1/20

A: Explanation and solution is given below....

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x - COS X (a) lim x/4…

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

Q: iv. lim x' -2x² X -00 v. lim 3x – Vx* – 2x +3 lim I-0 x vi.

A:

Q: Only one of these calculations is correct to evaluate the limit lim sinx Select one: 1 sinx -x lim O…

A:

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. .5 lim x→1 x³ Number –1

A: L'Hopital Rule:

Q: Only one of these calculations is correct to evaluate the limit lim cschx X-0 Select one: 1 lim…

A:

Q: COS X x2 + 3x +1 lim 200 7x2 4. lim x-0 3x + 1 2л + 4 x² + 1 ear lim 1 5. lim x--1+ x2 – 2x – 3 - x2

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric answer. In(x) lim Number x→1 x4-1

A: Solve for limit

Q: 18 To determine whether L'Hôpital's Rule applies to lim follow the same procedure as in step 1. x+0…

A: At x=0, -cos x = -1. Thus, -18cos x is not an indeterminate form at x=0 and L'Hopital's Rule doesn't…

Q: Since lim x* = 0, we conclude, from the limit laws, that X-0 = 0 lim [x* - cos() = ( lim x) · im lim…

A: We have to find: limx→0x4 cos23x

Q: 1 Only one of these calculations is correct to evaluate the limit lim sinhx x-0 Select one: (1 lim…

A:

Q: Only one of these calculations is correct to evaluate the limit lim cschx Select one: lim (sinhx-x…

A: We will find the solution of this limit.  Here,  we will use L.hospital.rule to find the limit.

Q: b): By using L'Hopital rule to evaluate the limit tan x - sin ac lim 23 sin x

A: We need to find limit.

Q: 35. Assume that if lim f(x)= L, then lim sin f(x)= sin L. In cach case evaluate the limit or…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: By using " L' Hopital rules "; Find the limits of ::- lim,-(1/2)-(tan x)cos x

A:

Q: Only one of these calculations is correct to evaluate the limit lim x Inx X-0+ Select one: o lim x…

A:

Q: Evaluate the following limit using L'Hopital's Rule. lim 41x? x→0 e41X-1-x

A: In the given question we have to find the limit s.t limx→041x2e41x-1-x by using the L-Hospital rule.…

Q: Only one of these calculations is correct to evaluate the limit lim - cscx Select one: 1 1 = 1-1=0 O…

A: To find: The limit of limx→01x-csc x. Calculation: The limit of limx→01x-csc x can be obtained by…

Q: 1c. Use L'Hopital's Rule to find the Limit: lim          (1 - x)tan(pix/2) x->1-

A: We will use tan z = 1/cot z formula

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric answer. In(x) lim Number x→1 x7 -1

A:

Q: Find the exact value of the limit using L'Hopital's Rule, make sure to talk about all indeterminate…

A:

Q: How many times do you have to apply L'Hopital's rule to evaluate the limit x" lim k<0 if n=9 Select…

A: Given that limx→∞xnekx, k&lt;0. We have to check how many times we can apply L'hospital rule to…

Q: Only one of these calculations is correct to evaluate the limit lim x2 Inx Select one: Inx O im x…

A:

Q: find limit if it exists   lim as x->pi cos^2(x-tanx)

A: Given,

Q: Find the following limit: 3. 1) lim (1--) x00 2) lim (Lnx) 3) lim (x² – 1)cos* X-1

A:

Q: Q5) Find the limit for the following function by using L'Hopital's rule: tanx - tan-11 lim X-1 x2 -…

A: We find limit

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.