The limit fx= X2 XスT 2メ-ズ Cos X ,X < TI at Will be 1-itexisted and eanals T 2-It existed and equals -T 3- Not existed 4- Not of the above |

Q: if r = -1 Is f(r) = · continuous at r= - -1? (Show your work using limits.)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Jse the two-path test to prove that the following limit does not exist. y* - 2x? lim 4 (x.y)-(0,0)…

A: Since tha value of both the limit is different  Hence the limit does not exist.

Q: 1. Find the limit if it exists. V2 + t – /2 – t - lim t→0 3t

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Q: Q2) Evaluate the limit at x = -2 for: x 1 2x2 4x - 8 S(x) x² - x- 6

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Q: Evaluate the limit with either L'Hôpital's rule or previously learned methods. 5t In(t) lim t- o 8 +…

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Q: Find a value for the constant "a" that will make the function f(x) continuous. f(x) = { ax- if xs2…

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Q: What is the limit of f(x) = 8 as x approaches n? (If an answer does not exist, enter DNE.

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Q: Q4 Evaluate the limit lim (x.y)-(0,0) 3x2+y xy cos y if it exist. If not, show that the limit does…

A: In this problem we compute the limit along x axis and along the line y=x .If these two limits are…

Q: The limit as x approaches infinty of (x+3^x)/(x^2-3^x) Evaulate using L'Hospital's Rule providing a…

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Q: 3. Can f (x) approach a limit as x → c if f(c) is undefined? If so,

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Q: Express the limit as a definite integral. 4 lim non + (i/n)- (i/n)9

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Q: Compute the limit as x approaches infinity of x^e-x

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Q: (a) Determine the following limits without using L'Hôpital's rule. V7x° +4x -x² -2 lim x'-2x-3x+1…

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Q: 1 Q.3: Discuss the limit of f (x) : at x = 0", 0*,-∞,+∞, with graphs.

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Q: s*(2t-2)² dt (a) Find the limit (if exist): lim x 2х-1

A: Result 1 : If limx→af(x)g(x) = 00 , then by L hospital's rule limx→af(x)g(x)= limx→af'(x)g'(x)…

Q: What is the limit as x goes to 0 for (e^x-1-x)/x^2?

A: Please refer the attached image for complete solution.

Q: 2. Find the the limit. li -y 1 (tany): 2 Y- 2

A: Given that:                limy→π2-(tan y)π2-y

Q: Show that the absolute-value function y = t(x) = |x − 5| is NOT differentiable at x = 5. (Hint: by…

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Q: Q3: A- Find the limit for the following functions: - tan2x 4х-3 Зx3-9х2 +х-3 1- lim x→0 sin4x 2- lim…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: What is the limit of f (x) = 1 as x → T?

A: Value of a constant function is always same irrespective of input.

Q: Express the limit as a definite integral. lim xk Ax [-3, 2] 4-0 k 1

A: Given

Q: Q4 (а) Evaluate the limit lim xy cos y if it exist. If not, show that the limit does not (x,y)¬(0,0)…

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Q: find the limit as x approaches infinity of (1+2/x)^x

A: Find the limit as x to infinity,

Q: 2. Compute xe" da using a limit.

A: The given which we have to find the integration from 0 to ♾️  f(x) = xex

Q: When using the definition of limit to prove that L is the limit of f(x) as x approaches c, you find…

A: The ε-δ definition of a limit is an algebraically precise formulation of evaluating the limit of a…

Q: Compute the limit as xà0 of f(x)=(sin(61x))/x, if possible.

A: To find:limx→ 0sin61xx

Q: What is the limit of f(x) = 1 as x ➔ rr?

A: given fx=1

Q: Q3. Compute the following limits if they exist. 2 – Vx (c) lim x→4 3 – V2x + 1 -

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Q: If the limit of f(x) as x approaches cis 0, then there must exist a number k such that f(k) < 0.001.…

A: Explanation: If limx→cf(x)=0, the for any positive ∈, (Like 0.001) there is a positive δ such that…

Q: Compute the limit (x,y)→(0,0) of 8xy / 2x^2+ 4y^2 along the following paths.   (a)  Along the…

A: Compute the limit limx,y→0,08xy2x2+4y2 along the path (a) Along the y-axis (b) Along the line y=3x…

Q: Evaluate the limit using L'Hospital's rule.    limit of 4cos(3x)sec(-7x)  as x approaches pi/2

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Q: True or false 1. If the left- and right-hand limits of f(x) as x→ c exists and are equal,Then f(x)…

A: If f(x) be a function on a subset of real number and c be point in domain of f then f is continuous…

Q: Find the value of a for which the limit sin (ax) – sin x – x lim x→0 is finite and evaluate the…

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Q: Compute the limit 1 e¯nt lim dt. VE n-00

A: Given: limn→∞∫01e-nttdt

Q: Compute the limit as x approaches zero of f(x)=(x^2+3x)/(x^2-x-12)

A: Given : Function f(x)=(x2+3x)(x2-x-12)   To find : Limit of given function when x approaches to…

Q: a)Express the limit as a definite integral. Σ (3c-5)Ax, xe[0,1] lim 2 b) and then evaluate it.

A: lim∆→0∑i=1n3c2i-5∆xi  x∈[0,1]∑ =∫∆xi=dx∫01(3x2-5)dxThis is definite integral

Q: Vh+ 256 – 16 Find the limit, if it exists: (Do not use L'Hospital's rule) lim h

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Q: Evaluate the limit V9n4 + 13n³ – 5n – 10 lim -V25n16 + 5n² – 9n Also, find the asymptotic value of…

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Q: Let F(x) = | 3e“ dt. Find lim F(x) if it exists. If the limit does not exist, explain why. x→0

A: see below the answer

Q: T is discontinuous at -1 because lim f(x) as x--> -1 does not exist. * %23 .7. 5. %23

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Q: Let f(x) 2.x – 5 if x > 5 --- Calculate the following limits. Enter "DNE" if the limit does not…

A: Here we have, f(x)=10-x-x2 if x≤52x-5         if x&gt;5 We have to calculate,…

Q: Find the limit as x approaches -1 for O-1/2 O 1/2 O-1 01 x+2 -1 x+1

A: Concept: L'Hospital's Rule: A general technique for assessing indeterminate forms like 0/0 or ∞/∞ is…

Q: Find the limit: lim f(x) as x approaches 0 of Kx2 - tan2 (mx)cos(mx)/x2     (m not =0)

A: Consider

Q: Does the existence and value of the limit of a function f(x) as x approaches a ever depend on what…

A: Yes, existence and value of the limit of a function f(x) as x approaches a depends on what happens…

Q: By using the de finitionof the limit, prove thal (D Lim x (x+1)=D0 e) Linx cos= o

A: Let f(x) be a function defined in the open interval a,b and let c be a point in the interval a,b…

Q: Find the limit of (x3+x2)1/2sin(((2)1/2pi)/x) as x approaches 0

A: To find

Q: Find the limit by numerically. 1 lim 1+ It| 1 |t – 1| t-0

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: if r =-1 A if z + -1 2. Is f(r) = continuous at r =-1? (Show your work using limits.)

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Q: 2x Sí“(2t-2)² dt (a) Find the limit (if exist): lim 1 2х-1

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Q: ) Evaluate -The limit (lnx) as approaches positive infinity (a 1 Zero e O Infinily

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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.