1 lim In(1+x)/

Q: compute lim as x goes to pi/2 from the right of (x-pi/2)tan(x)

A: Given f(x)=x-π2 tanx To find limx→π2+f(x)=limx→π2+x-π2 tanx

Q: Suppose that lim (x,y)→(3,1) f(x,y) = 6. What can you say about the value of f (3,1)? What if f is…

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Q: 2. Construct a table of values to investigate 1 if x -1

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Q: Estimate the one-sided limits for the function below.  f(x)=(11−x)/(x−8)^2   lim f(x)= x-->8+…

A: Given function is

Q: Determine the limit by sketching an appropriate graph. V16-x2 Osx< 4 lim f(x), where f(x) = 4 4sx<8…

A: GRAPH

Q: justify lim O Find and the xy

A: It belongs to Multivariate Calculus (specifically several variable),so I can do it in advanced…

Q: Find the constant a such that Va ax +4-2 lim

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

A: A number L is said to be the limit of a function f(x,y) as (x,y)→a,b , if for any real number ∈&gt;0…

Q: Use definiction to १r० v of Conkegene to lim n+4

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

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Q: Use L’Hôpital’s Rule to evaluate the limit.

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

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Q: Transform the function lim x+5x² +3- x²) into an equivalent quotients to en apply L'hopital's rule.

A: Given that limx→∞x4+5x2+3−x2. Multiply x4+5x2+3+x2 by numerator and denominator both…

Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

Q: Find lim (2+x)" * using L'Hôpital's rule. 1/x

A: Given the given expression is limx→∞2+x1x.

Q: State the definition of the derivative of a function f. Use the definition of the derivative to…

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Q: evaluate the limit.

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Q: 3. lim Jx| ズート-1

A: Let's find.

Q: Estimate the value of limx→2 x 2 + x − 6 x 3 − 8 to 3 decimal places by making a table with the…

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Q: Find the limit. sin 5x lim X0 3x

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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: Evaluate the limit sin 3x lim 5x

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Q: Evalute the lim sin5x/x(x-1) as x approaches 0.

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Q: If f(x)=x2−9x−3 , what is limx→3+x2−9x−3 , limx→3−x2−9x−3, and f(3) ?   Is f(x) continuous at 3?

A: Given,              f(x) = x2 − 9x − 3

Q: Use l'Hôpital's Rule to find the limit. x11X lim x→0 11* – 1

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Q: Find Lim as attached . f(x) = 3x − 2

A: Consider the provided function, fx=3x-2 Find the limit of the provided function, limx→0fx+x-fxx…

Q: Find the indicated if it exists: lim x to +infinity;  2x2+3x+1 divided by x4 - x2

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Q: compute lim as x goes to infinity of ln(x)^1/ln(x)

A: Consider the equation

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: ve that lim 1 by definition.

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Q: Evaluate the limit by using the definition of a derivative. log3 (x) – 2 lim x→9 x - 9

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Q: 28. Use the limit definition, lim 7 (x+h)- f(x) to determine the derivative of x-1. [Value of 4] h0

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

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Q: Make a table of function evaluations near the limit and use this to estimate the value of the limi…

A: Given: f(x)=limx→0xsin)(x)

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

A: Question is solved.

Q: find the lim as x approaches infinity when f(x)= (1-x)/2x

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Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: Use the definition of the derivative to evaluate the limit. (6 + h)** - 1296 lim

A: Given limit is : limh→06+h4+h-1296h To find the value of limit.…

Q: Use l’Hospital's Rule to show that lim 1+ X. = e. コ

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Q: Find Lim as attached. f(x) = 3x2 + 1

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Q: Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x…

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Q: If there is no single value that is approached by f(x) as x approaches a, then lim f(x) does not X→a…

A: If there is no single Value that is approached by f(x) as x approaches a,then limit of f(x) as x…

Q: sin(2x) 1) lim

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Q: Use the limit definition of the derivative f (x) – f(a) f'(a) = lim - a to find f'(a) in each case.…

A: Given fx=x3-7

Q: Consider the function…

A: The graph of f is as follows:

Q: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

Q: Find Lim as attached. f(x) = −6x + 3

A: Find Lim as attached. f(x) = −6x + 3   limx→0f(x+x)-f(x)x

Q: What conclusion about f(x) can be drawn from the equation lim-a+f(x) = f(a)?

A: Given that limx→a+f(x)=f(a)