The first appearance in print of l'Hospital's Rule was in the book Analyse des Infiniment Petits published by the Marquis de l'Hospital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function 2ax – x* – aaax a - Var as x approaches a, where a > 0. (At that time it was com- mon to write aa instead of a².) Solve this problem.

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A: The given function,The aim is to prove the function has a removable discontinuous at  and redefine…

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A: Plug the given number x which is approaching in the function.

Q: Why is a function called continuous even if it's discontinuous "not on its domain", shouldn't these…

A: Question: Why is a function called continuous even if it's discontinuous "not on its domain",…

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A: We know that for a function y = f(x), for each x in the domain, there is exactly one element y in…

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A: We have to check if the function is continuous or not.

Q: Problem 3. Use the Squeeze Theorem to find lim, ,0+ (2/4 sin E). Problem 4. Sketch the gronh

A: As per bartleby guidelines we only give first  questions answers.

Q: II. For each of the functions, indicate whether they are continuous at the indicated point. If the…

A:

Q: Each of the following functions is defined at x = 3 but not differentiable at x = 3. Cleary explain…

A: Topic :- Differentiability

Q: AntAlmanac Grades for Zainab T. Suppose fand g are continuous functions such that g(9) = 5 and lim X…

A: If f(x) is continuous at x=a then limx→a f(x) = f(a) .

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A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: 2. For each of the following number lines, sketch the graph of a function f that has the indicated…

A:

Q: 1). Does the left-side limit of the difference quotient of the function g(w)=|w| exist at w=0? If it…

A:

Q: 4. Given the graph of y f(x) at right, draw a graph of each of these related functions. ソ=k) a. y=…

A: Transformation of graph: Let us suppose y=f(x) be the graph then  1) the graph of y=f(-x) means…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: For Nos. 9-10: Suppose f is a function such that f0(5) is undefined. Which of the following…

A: Given that a function f is as follows  I.e f(5) is not defined  We know that  Any function is…

Q: Graph the set of points of continuity for the following function: f(x, y) = ln(-x + 2y) 20

A: