lim as x-->2 of:((1/x+1)-1/3)/((1/x+9)-1/11), i know you have to rationalize/factor the function but i keep getting stuck trying to find a common denominator to rationalize it, pls SOS.

Q: A rectangle has a perimeter of 40 meters. a) Express the area of this rectangle, A(1), as a function…

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Q: factor this derivative: 2/3x-1/3(x+4)2+x2/3 2(x+4). must show all steps

A: Solution -    Given equation -  f(x) = 23 x-13x+42+2 x23(x+4) = 0 f(x) = 2 x+423 x13+2 x23(x+4) = 0…

Q: I have this function: f(x) = (x + 5)/(x^3 − 9x) I think I am told the domain is {+-3,0} But why does…

A: The domain that you are told is wrong, and definitely domain will also include -5, please take a…

Q: Given the function: f(x)=4x^2-9x, evaluate/simplify the following: f(x+h)-f(x)/h

A: Given function f(x)=4x2-9x To Evaluate f(x+h)-f(x)h

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

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Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

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Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Divide the polynomial f (x) = to 6 x ^ 3 + 4 x ^ 2 - x + 5 by x ^ 3 - 3 x + 2

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Q: Which of the following is not a possible zero of f(x)=4x^5-2x^3+10? 3,5,5/2,3/2 , why?

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Q: p(x) = - 7x ^ 2 + 5x + 9 Find p(- 2) and p(3) for function

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Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: Find the Difference Quotient of the following function: f(x)= 4x^2+6. Please show the steps, I'm…

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Q: Explain what happens to the base function that went from   a(x) = x^2    d(x) = (x-2)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: R(x) = 7/x^2-16 If needed, write this given function as a single rational expression. Aftrr, factor…

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Q: Given the polynomial function ( f(x) = 2x^3 - 5x^2 + 3x + 1 ), . Sketch the general shape of the…

A: We will graph the given function.

Q: what is the coefficient of the fourth term of (1/x - 5) ⁴

A: First we calculate fourth term then we find coefficient of fourth term.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.