Find the limit of if it exist?

Q: evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

A: To solve this question first we have to simplify the expression and then apply limit.

Q: Compute the limit, or show that it does not exist:

A: The limit of the function at a value of the variable is the value of the function when the value of…

Q: The limit of a product is the product of the limits.

A: Product rule: The limit of the product of the two functions is the product of their limit,…

Q: Frem + 2

A: Solution

Q: Find the limit lim (Vr2 + 3x – Vx2 + 1).

A:

Q: Prove the limit statements in Exercise

A: Given: Prove: limx→11x=1

Q: Find the limit of lim-

A: Solution: The objective is to find the value of the given limit

Q: Prove the limit statements in Exercise

A:

Q: he limit if it exists. (If an answer does not exist lim

A:

Q: evaluate the limit if it exists. If not, determine whether the one-sided limits exist (finite or…

A:

Q: Evaluate the limit by using the appropriate Limit Laws: Iim x⟶2 (4x2+3x) [ (2x3)(x−1) ]

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Q: find its limit.

A:

Q: See image below.

A: To determine the value of the limit if it exists.

Q: Prove the limit statements in Exercise

A: Given limits: limx→4 9-x=5 The objective is to prove left hand side equal to right hand side.

Q: Prove the limit statements [4 16x – 4, — 2х, - 2x, lim f(x) = 2 if fx)

A: Given: limx→1f(x)=2 if f(x)=4-2x,    x<16x-4,    x≥1

Q: Find the limits in Exercise

A: we have to calculate the given limits. limx→8+2xx+8

Q: Prove the limit statements lim Vx - 5 = 2

A: The limit of the given function can be found with the help of the substitution of the indicated…

Q: Give an example of a limit of the form ∞ / ∞ as x→ 0.

A:

Q: Find the limits in Exercise

A: The limit of the function 13x can be found by the function itself, where it approaches when x…

Q: Find the limit. Ilm

A:

Q: How does the sandwich theorem enable us to calculate a variety of limits?

A: Sandwich theorem: Consider 3 function f(x),gx,hx such that fx≤gx≤hx. Also, assume that limx→cf(x)=L…

Q: Evaluate the limits. If a limit does not exist, enter "DNE".

A: Part a,         ∴limx→-7+x+7x+7         When x→-7+ then x+7 will be positive.…

Q: Find the limits of the following if they exist

A:

Q: evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

A: We get 0 in the denominator , so the limit does not exist.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)

A:

Q: Find the limit (if it exists). (If an answer does not exist, lim In(x - 6) X6+

A: Given:   limx→6+lnx-6

Q: evaluate the limit if it exists. If not, determine whether the one-sided limits exist (finite or…

A: Given:

Q: Find the limit, if it exists, or show that the limit does not exist.

A:

Q: hat the limit is the indicate

A: we have to Prove that the limit is the indicated number. limx→-2(7-2x)=11

Q: Find the limits in Exercises

A: To find: The limit of limx→-∞x2+11x-1. Calculation: The limit of limx→-∞x2+11x-1 can be obtained as,…

Q: Calculate the value of the limit, if it exists, or show that it does not exist.

A:

Q: Prove the limit statements in Exercise

A: To prove: limx→04-x=2

Q: Determine whether the statement "A limit of the form ∞ ∙ ∞ is indeterminate" is true or false. If it…

A: we have to determine whether the given statement is true or false.  Statement:  "A limit of the form…

Q: Find the limitsof 1

A:

Q: Find the limit, if it exists. lim (---)

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: x2-1= -2 lim X-1 x+1 %3D

A: we have to prove: limx→-1x2-1x+1=-2

Q: Find the limit if it exist.

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Q: (b) lim csc(r)

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Q: explain the purpose of a proof by ε, δ definition of a limit.

A: Here I give the geometrical view of definition.

Q: Exercise 5. Find the limit lim a

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Q: Evaluate the limit of it exists. (If an answer doesn't exist, enter DNE.)

A:

Q: lim (1-x)* 1-

A: Given,          limx→0+1-x1x

Q: Compute the following limits

A: As per our company guideline ,we are supposed to answer only furst three subparts.Kindly repost the…

Q: What is a finite limit.

A: Given data is: What is finite limit?

Q: Evaluate the limit. lim 十十ダ

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Q: Prove that limit x  3   (4x-5) =7

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

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Q: Use the definition of limit to show that 2+3 im 4 -9) 13,0.8 23.

A: Given function is, fx=2x+34x-9 We have, x0=3 From the definition of limit it is given that for any…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!