Lim x -> 2 (x^2-1/x-2)       The lim x --> 2 is both negative and positive.  i dont remember how it do it at all

Q: lim x approaches 4  ...........  (4 - x)/[5 - (x^2 + 9)^1/2]

A: Givenlim x→44-x5-(x2+9)1/2

Q: lim x→-0 e-x

A: Given: fx=limx→-∞x2e-x

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: lim ²+2x+4 2-1 31²-2+8 LIMIT VALUE: lim 2-0 LIMIT VALUE: lim x-1 LIMIT VALUE: +6-√6 z ²+81-5 3x+7

A:

Q: Оuestion: 2 Use the numerical method to find lim 3-x

A:

Q: Evaluate the limit.

A:

Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

Q: Calculus Question

A: Option e is false .  Please rate helpful and feel free to ask any query about any part.

Q: lim f(x) Find x-2 lim f(x) and x-2*

A: We have given the graph. now using it we have to find left hand limit and right hand limit at x=2.

Q: Sketch the graph of a function with the given limits:

A: Given: limx→1fx=∞……1limx→3-fx=0……2limx→3+fx=-∞……3

Q: Find the limit. Use a graphing utility to verify your result. (Hint: Treat the expression as a…

A: qq

Q: Domain: x* lim f(x) = x3 lim f(x)= x-3- lim f(x) x-3+ lim f(x) = f(0) = f(x) = 0= x3D}

A: (a) From the given graph of f(x), When x approaches 3 from the left and from the right, y approaches…

Q: lim 1 4 X + 2* x-2 In(2x-3)

A:

Q: sin-'x - tan"'x "x Evaluate: lim

A: Explanation of the answer is as follows

Q: lim x→1 √2-x-x x-1

A: We need to evaluate the value of the following limit limx→12-x-xx-1

Q: lim x-6 x-4 |7-x| lim x-7 7-x 10 sin x lim x-0 6x

A:

Q: sinx-x 2. Evaluate lim sinx-x 극한값 lim 을 구하여라. 1 1 1 - 6. 6. /-

A:

Q: Lim x 0 (2x-1)1/2 -3/ x-5

A:

Q: lim x-0 tan x - x .3 X

A:

Q: Finding an absolute extremum Verify that ƒ(x) = xx has an absoluteextreme value on its domain.

A: Given: fx=y=xx we know that domain of given function is x∈0,∞ and for extremum value derivative of…

Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: lim 1_ x>5 x- 2

A:

Q: lim x→∞ [ln(8 + 3x2) − ln(1 + x)]

A: We have to find the limit.

Q: Lim cot(3X cotlôx) X- 3

A:

Q: lim.                          x^5 x --> - infinity

A:

Q: lim 2 -V1-x find Value. 3 +x

A: We need to evaluate the following limit limx→02-1-x3+x

Q: lim 4 square root x -3/x-81 x-->81

A:

Q: lim x-> sin3xcot4x/cot5x

A: We have given the limit function;

Q: Exponential limit Prove that lim (1+) = ", for a + 0. %3D

A: Given: prove that limx→∞1+axx=ea, a≠0 for evaluating given limit, we solve left hand side for that…

Q: lim x -> 0 ((sin(3x)) divided by ((tan(3x)) Evaluate the limit.

A:

Q: lim ( - x→0+ cot x)

A: We need to evaluate the limit limh→0+1x-cotx

Q: Lim 1/x X-0

A:

Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an…

Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: sin 2x tan xsin 4x 2. Determine lim You may NOT use L'Hospital's x2 sin 3x rule.

A:

Q: lim(x->5)  2x/(x-5)3

A:

Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: lim Vx2+1-Va²+1 4-, 5- lim 1 x+2 6-, lim sin 3x X-a -

A:

Q: lim xsin(5/x) x→∞

A:

Q: lim (x + 1)cotx X→0+

A:

Q: sin 3x sin 5x lim .2 Find the Limit:

A:

Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

A:

Q: lim Δx-0 x(χ Δx)

A: We have to find the value of: f'x=lim∆x→0-1xx+∆x

Q: lim (2x²+x-1) 2-0 LIMIT VALUE: 2²-4 lim 2-0 2+8 LIMIT VALUE: LIMIT VALUE: 9-z lim 2-9 3-√√2

A:

Q: uestion 5 ( ) Algebraically show that f(x) = 5x2 + 2, x <0 is one-to-one and find f-).

A:

Q: Limit of -4 from left of function (x-3)/(x-4)

A: Find f(-4-h) for h tends to 0

Q: lim x->5 (square root of x)

A: Given,         limx→5x

Q: lim x→8 f(x) = 4  and limx→8  g(x)=8   , evaluate limx→8  f(x) +g(x)  /7f(x)   Limit =

A: Given,

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.