What does it mean when we say a limit is in an indeterminant form and what can we do to solve it?

Q: Describe the Limit Laws?

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Q: Find the limit (if it exists). If it does not exist, explain why.

A: We need to find the limit if it exists.

Q: How can the Approaching of  a Limit from One Side be done?

A: In calculus, a one-sided limit is either of the two limits of a function f(x) of a real variable x…

Q: What is a left-hand limit?

A: If the x values approach from the left side of a number, then it is called left hand limit.  For…

Q: Explain how examining limits along multiple paths may prove the nonexistence of a limit.

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Q: By(tty) tan (x*+9}

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Q: What is the limit? I found the limit to equal 0 but not sure if I did it correctly.

A: Evaluating the limit:

Q: Explain the differences between limits at infinity and infinite limits.

A: Limits at infinity are used to describe the behavior of the function as the independent variable…

Q: 1. Carefully explain how you know if a limit exists. What must be true about the left sided limit…

A: Given

Q: Thoroughly explain how to determine when a limit does not exist.

A: The limit does not exist when after applying the limit to a function the function attains infinite…

Q: How are the Infinite limits useful?

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: Plugin the limit in limθ→0cos θ-1θ and obtain the indeterminate form of limit, 00. limθ→0cos…

Q: Sm2x

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Q: Find the limit, if it exists. If the limit does not exist,explain why.

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Q: How can we Find One-Sided Limits Algebraically?

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Q: lim an lim 2 ニ2,

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Q: I need to compute each limit. The limit is ... lim x -> -3 x2 + x - 6 ————— x3 + 27

A: Given,

Q: Give an example of a one sided limit. With given formula solution and answer. With explanations

A: A one-sided limit is the value the function approaches as the x-values approach the limit from *one…

Q: What are Infinite Limits?

A: Infinite Limits :-                                 The statement limx→af(x)=∞ tells us that whenever…

Q: What are the correct steps for evaluating any one-sided infinite limit?

A: To find the limit of a function at infinity and correct steps for one sided limit of a function at…

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: What are the Limit Laws?

A: Consider the following limits: limx→afx=A, limx→agx=B Sum law for limits:…

Q: Evaluate the limit using the Basic Limit Laws

A: To evaluate limx → 12 (4x + 1)(6x - 1).

Q: Only one of these calculations is correct  to evaluate the limit

A: Evaluate the limit.   limx→∞x+lnxx2+lnx

Q: What is a limit?

A: Let us consider an arbitrary function f(x) ,

Q: Use two different paths to demonstrate that the limit: lim(7,9)→(0,0) x*y?+(x=y)?

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Q: Use the precise definition of a limit to prove the statement: = 2 -, (2x)

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: We find the function for some values of x on the left side of x=0 x y -0.1 -3.31668 -0.01…

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 2. lim

A: For a one-sided limit, check for any vertical asymptote (if exists).

Q: What is the Limit of identity function?

A: we have to tell what is the limit of an identity function.

Q: Define One-sided limits with equation?

A: One-sided limits is value of the function which approaches as the values of x approaching the limit…

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: We make a table using the left-sided points of x=-2 x y -2.1 11 -2.01 101 -2.001 1001…

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

A: Given: limx→0-sec x32x

Q: What are infinite limits and how are they useful?

A: What are infinite limits and how are they useful?

Q: Find the limit. (If you need to use -0 or ∞, enter -INFINITY or INFINITY.) lim (e-5z cos

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Q: Determine whether the limit exists. If so, find its value.

A: Let the given limit be y - y = lim(x,y)→(0,0)x4-64y4x2+8y2y = lim(x,y)→(0,0) x22-8y22x2+8y2y =…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: To evaluate the limit: lim△x→0-1x+△x-1x△x. Here, x will be treated as constant. When we put the…

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

A: Here I give the geometrical view of definition.

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: We make two tables for values on the left and right side of x=0

Q: Find the limit if it exists. (=) 3x Lim,0

A: The given limit is limx→0-3xx2

Q: What is a limit and how can it be found using tables and graphs?

A: It is required to give the definition of a limit and how can it be found using tables and graphs.

Q: Find the limit or show that it doesn't exist. 1-х-х2 a) limx→-o 2х2-7 V1+4x6 b) limx 2-х3

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Q: How are one-sided limits related to limits? How can this relationship sometimes be used to calculate…

A: Consider the limit limx→cfx. The limit limx→c-fx is a left-hand sided limit of fx as x→c is the…

Q: #33 Find the limit lim Ctexe)

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

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Q: What is the purpose of using one sided limit?

A: The main purpose of using one sided limit is that:We can check the behaviour of function and…

Q: eveluate the limit if it exists.... just letter a pls... need detailed solutions... TY

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Q: Use L-Hospital Rule to find the limit as x goes to infinity (1-(3/x))^(2x).

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Q: Explain why a limit of the form 0∞ is not an indeterminate form.

A: The only indeterminate forms are: 0/0 ∞/∞ 0 · ∞ 00 ∞0 1∞ ∞ - ∞

Q: Tim 8x -Ux +7 9x°+2x?-5 4,

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.