Only one of these calculations is correct to evaluate the limit lim coshx sinhx Select one: 1 O im coshx sinhx-x coshx -x sinhx lim lim x+0\X coshx+sinhx X+0 sinhx x sinhx O l im coshx sinhx-x coshx -x sinhx x coshx-sinhx =D0 lim lim = lim X+0 sinhx x sinhx x-0\x coshx+sinhx) x+0 x sinhx+2coshx 1 O lim coshx =∞ - ∞o = 0 sinhx coshx sinhx O im lim X +0 = 1-130 sinhx coshx X -0 X sinhx-x coshx lim coshx O im =D0 01 %3D sinhx x sinhx X+0

Q: Use l’Hôpital’s rule to find the limit lim x→0+ (ln x - ln sin x)

A:

Q: Show that the Product Law cannot be used to evaluate the limit

A: To show product rule can not be used to evaluate the limx→π2(x-π2)tanx

Q: Evaluate the limit: sin 7z sin 4x lim sin 4z sin 2r

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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: limit

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Q: Based on your knowledge of the behavior of the numerator and denominator, predict the value of sin a…

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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: 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: Evaluate the limits with either L'Hopital's Rule or previously learned methods: 1-cos x 4. lim x2

A: We need to find the limit limx→0 1-cosxx2. So,             limx→ 01-cosxx2By L'Hopital rule,=limx→…

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: Explain why L’Hôpital’s Rule gives no information about lim x→∞ 2x − sin x/3x + cos 2x. Evaluate the…

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

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

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

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Q: Use L'Hoptials Rule to find the limit of: Lim as x->0 for (cosx)^3/(x^2)

A: We apply l'hopital rule to obtain value of function

Q: 5. Use L'H rule to find (a). lim Inz2 (b). lim (sin x)(In x).

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Q: Calculate the limit limx→π/2(tanx)cosx.

A: We have to evaluate limx→π2tanxcosx We know that tanπ2 is not defined. Therefore, we will simplify…

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

A: Solution

Q: 4 Find the limit: lim sin(x) (Enter undefined if the limit does not exist.)

A: The given limit limx→04x-4sin(x)

Q: Use l'Hopital's Rule to rewrite the given limit so that it is not an indeterminate form. Choose the…

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

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

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Q: Find limit sinax lim x→0 sinbx

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Q: Only one of these calculations is correct to evaluate the limit lim (sinhx)*

A: See the details solution in below

Q: Find the limits

A: limx→-∞tan-1x

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

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

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Q: evaluate limit numerically or state that the limit does not exist. lim sinliox

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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: Use the first result to find the limits a. lim sinx = 1 X-0 x i. lim X-0 sinx lim cosx x2 ii. X-0…

A: Given: a limx→0sinxx=1

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: Only one of these calculations is correct to evaluate the limit lim tanx Inx x-0+ Select one: (1/x)…

A: L'Hopital rule of limit calculation is when the limit is indeterminate of form 0/0 or infinity by…

Q: state the indeterminate form, then use l'hopital's rule as many times as is necessary to find the…

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Q: Which of the given limits would result to 3/4.* csc (3x) lim x0 csc(4x) sin (4x) lim 0 sin(3x)…

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Q: Determine the limit (if it exists). sinx(1- cosx) lim 2x° x →0

A: Given To Determine limit exists or not

Q: Find the limit or determine that the limit does not exist limx→2 (sin(pi/2 times x)/cos(pi times…

A: We have to determine whether the limit exists or not for the following expression…

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: Only one of these calculations is correct to evaluate the limit lim xtanx Select one: lim xlanx →…

A: The correct solution of given equation

Q: Lim (sinx)* -0+

A: Given query is to find the limit of the expression.

Q: lim x→0 for sin(4x)/3x

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Q: Find the limit using l’Hospital’s rule(4x-sin(4x))/(4x-tan(4x))

A: The limit to be evaluated is as shown on the white board.

Q: find the following limits if exist:- limx-0 1-cosx x sinx

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Q: Determine the limit (if it exists). sinx(1– cosx) lim 3x7

A: Given,           limx→0sinx1-cosx3x7

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

A: Given,

Q: Use L'Hospitaľ's Rule to evaluate the given limit. x²+x a. lim X-0 sinx

A: The limit of a function limx→Xfx=Ymeans that value of  function fx can be as close to Y by making…

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

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Q: Find the following limit, if it exists, using the fact that lim sinx = 1, if needed. cos -1 lim

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Q: 8. Find the limit using squeeze theorm. lim x² sin(x²)

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: