(x³ + 2 x +2 if x2 -1 if x < -1 7. Explain why lim f(x) does not exist for f(x) = {*"* %3D X-1

Q: Prove that lim +1) = 3 using the e--definition.

A:

Q: 1-z = ? What is lim %3D !- 2!- -2

A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: the limits if it exists, if it does not explain why. (1) lim ()" (ii) lim

A:

Q: Find the limit V3x(x-1) lim→1 |x-1|

A: we have limx→1-3x(x-1)|x-1| this is 00 indeterminate term

Q: 2 4. lim x-3+ \3-x 4 9-x2,

A:

Q: Find the limit analytically: 2-4x lim 40 5+3x 1.

A: Solution is here

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

A:

Q: Calculate the limit limx→13√x−1x−1.

A:

Q: Estimate the limit numerically for lim- x-4 x2-3x-4 3.9 3.99 3.999 4 4.001 4.01 4.1 x – 4 x2 – 3x –…

A: Given :   limx--&gt;  ( x-4)/( x2-3x-4)

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: Calculate the limit lim 2√(x-4) / (x-4) As x goes to 4

A:

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: Evaluate the limit: 2x +10 lim x-5 x +2x -15 lim as x -> -5 of |2x + 10|| divided by x ^ 2 + 2x – 15…

A: Evaluate the limit

Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: We have to evaluate the following limit: limx→2x-2ln3x-5 The above limit is in 00 form. Therefore we…

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: 4x + x-1 lim 3x- x²

A: Here we have to find limit of the given function.

Q: calculate the limit limx→0  x3-3x2+x-5

A: To evaluate , limx→0 x3-3x2+x-5

Q: lim(4x – 3) = 9 x→3

A:

Q: Find the value of the limit: 3 tan(4x)– 12x lim

A: From the given problem:   limx→03tan4x-12xx3   This problem can be solved by the series expansion of…

Q: What is the limit as x goes to infinity of (ln(x3 + 9) - ln(2x3 + 17x))?

A: Use quotient rule of logarithm to reduce the function as shown,

Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

Q: Find the limit of each function lim   8x^2 / cos x - 1 x - > 0

A:

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

A:

Q: Compute the limit: lim (1+3x)^(-5/x) x→0

A: We have to evaluate the given limit.

Q: Find the one-sided limit (if it exists).

A: Given :                       f(x) = limx→2- 1x2-43

Q: Numerically determine the limit 8+x3 limx--2 2+x

A:

Q: Estimate the limit numerically  limx→4 √x−4/x−16=

A:

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

A:

Q: Evaluate the limit 6| lim x→6 x - 6. If the limit does not exist enter DNE. Limit =

A:

Q: 3 - – If lim f(x) = 3.5 and lim,-2+ f(x) = 6. 5 , the function has a double sided %3D x→2- limit or…

A: Given,          limx→2-fx=3.5 and limx→2+fx=6.5We know that,           Condition of double sided…

Q: Find the one-sided limit (if it exists).

A:

Q: Show that lim- e +1 does not exist. 1/x

A:

Q: Find the limit.   Lim x→∞             (1+2x)5/2 ln x

A:

Q: Evaluate the limit  Limx-&gt;0 (ex-1-x)/x3

A:

Q: 1. If V5 - 2x² s f(x) s V5- x? for -1sxS1, find lim,-o f(x).

A: Answer and explanation is given below...

Q: Find the limit. lim e^(-2x) x--&gt;∞

A: To find the limit of e^(-2x) as x tends to infinity.Check whether the L Hopital’s rule applies.

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

A:

Q: 9. Find the indicated limit. lim (6x - 21)³ x-4 = Show any work necessary

A: Solution: As per given data   lim( x tens to 4){ (6x - 21)³} As per simple rule of limit go ahead…

Q: 5, evaluate the limit. 2x3-x 5) lim X0 x2+3x-1

A:

Q: Use basic techniques to find the limits. 8. lim(-7) X-3 9. lim (x³ + 2x) X→-1 10. lim cos x

A:

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: Find the limit if it exists. lim (2x+3) X--2

A:

Q: 2) If 2 – x2 < f (x) < 2+ 3x² whenever -1 < x < 1, use limit theorems to find lim0 f (x). Give all…

A:

Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

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

A:

Q: Calculate the limit:

A: We have to find the limit: limx→22x2-6x+1 Since this is simple determinate limit so we just have to…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.