if x <1 x – 1 | f(æ) = T In x -) if1

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

A:

Q: Show that the following function is continuous or discontinuous at. f(x)=x2+x-6/x2-4

A: The given function is

Q: The function f(z) is analytic if

A: analytic functions are functions which are locally given by the convergent power series. i.e any…

Q: Please show step by step: " A function f : Z → Z is defined by f (n) = 2n + 1. Determine whether f…

A:

Q: Let f be the function from {a, b, c, d, e} to {1,2,3,4} with ƒ(a) = 3, ƒ (b) = 1, f(c) = 2, f(d) = 4…

A:

Q: a. Use the definition mtan = lim x→a a. mtan = b. Determine an equation of the tangent line at P. c.…

A:

Q: The following is the graph of f(x) on the domain [-3,2]. If f(x) = 2, then A) x = -1.5 or x = 0.5.…

A: Given : Graph of f(x), Domain of f(x) : [-3,2], f(x) = 2.   To find : value of x at f(x) = 2 ?…

Q: Assume that the relation x = √500+ 5y² defines y implicitly as a function of x. Determine y" as a…

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Q: Q1. Let f: N x N R be defined by (a + 1)(a + 2b) f(a, b) – 2 Show that the image of f is contained…

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Q: The function f(x): O True O False 8.x x²-9x-1 is continuous.

A:

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.