sin (4x) 12. Find the limit lim х

Q: 9. Evaluate the limit. lim (1+ sin 3x)1/x x→0+

A:

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

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A: Find the limit. lim (x.y)→(0,1) (y5 sin x)/x To select correct option  1 0 ∞ No Limit

Q: 1 1 (b) lim x-0 'tan x e* – 1 -

A: =?

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A:

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: 1: Find the limit 6x°y5 lim (x,y)¬(0,0) x6 +y10

A: See the attachment

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A:

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A:

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A:

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A: Given,     limx→qln x1x

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A: We can solve the problems by finding the value of the function at  the given limit.

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A: In this question, we need to find the limit of multivariable function by using ε-δ definition.

Q: Find the limit. sin 5x lim X0 3x

A:

Q: Find the limit of the transcendental function. lim x → T/2 4 sin x

A: Definition of limits helps to find the limit of the given function. The value is said to be the…

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A:

Q: 1-cos 2x lim X→0 x2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Fin d the limit. lim 5x° メーッ0 Sin 3x tanx

A:

Q: Find the limit of the trigonometric function.

A: Given: limx→56sinx we evaluating given limit, we substitute x=56 in given expression

Q: lim,-o ([sin x]*) is

A:

Q: Find the limit. sin(2x) lim 3x

A:

Q: 02.) Find the limit lim X+x cos X sin x cos x 1- X→0 lim sin 5x SIn 4x 3-

A:

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A:

Q: Evaluate limx=0+ e(1/x)

A:

Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

A:

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Q: (sin 2x)* - 4x →0+ x -

A:

Q: What is the value of a if the limit of the function is 3, given by еах —1-ах lim X→0 ex2. = 3? -cos…

A:

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Find the limit: lim, 0+ x(ln x)²

A: The given expression is: limx→0+x(ln x)2 Which is in 0×∞ form. So, convert it into ∞∞ form.…

Q: sin 0 = 1. Find the following limit using lim

A:

Q: Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of:

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A: find the limit

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A: Given,

Q: 2x cos. X 17) lim --

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A:

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A:

Q: find the limit or explain why it does not exist

A:

Q: S -2x? + 5x 7x² – 5 for x 0. According to the alternate form of the definition of the derivative,…

A: Given:

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A: We need to evaluate the value of the following limit limx→0cosx-1+x2214x4

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A:

Q: find limit if it is exist 3 sin(xy) lim(æ,y)→(0,0) 2a²+y²

A:

Q: Match the given limit with a derivative. Then find the limit by computing the derivative. lim 49 h-7…

A: Derivative by definition formula is

Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

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A:

Q: Find the limit sin(3x)cos(4x) lim→0 x+xcos(5x)

A:

Q: lim,++∞ sin°(x)+cos(x)+r? Find the limit

A:

Q: Find the limits limx→0+sin x . ln x

A: The given limit is: limx→0+sinx·lnx  Consider "h" is a too small positive real number,  Then,…

Q: Find the limit. cos(x) – 1 +x² .2 lim 2x4

A: NOTE: Refresh your page if you can't see any equations. . apply L'Hopital's rule

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.