ZNTI for |k| < N. Then, for Y let py (k) = 2-k, for k = 1,2, -.., and for Z let Define the following pmfs. For X, let px (k) Pz (-1) = 0.25, Pz (1) = 0.25, and pz (0) = 0.5. Note that outside of the domains specified above, the values of pmfs are zero. Compute the following quantities for an arbitrary integer n.

Q: B) Test the functions continuity at the given poihts: (x²-x-6 1) f(x) 3D x * 3 ,at x 3, x 5 X-3 x =…

A: f(x)=x2-x-6x-3x≠35x=3

Q: 1. If f(x) is a function such that f(1) = 2, f(n + 1) = (3f(n)+1)/3 for n = 1, 2, 3, ..., what is…

A:

Q: 1 and g(x) = 3. 6. +3. Let f(x) = Then (fo g)(x) = (go f)(z) = > Next Question

A:

Q: 5 Refer to the figure to determine each of the following: Exercise 5 y y = f(x) (2, 4) (1, 2) (a)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 15. (1.3.36) Find fogoh, where f(x) = |x4| g(x) = 2x h(x) = √(x)

A: To find , where

Q: Consider the function f(x) = 5(x – 2)²/3. For this function there are two important intervals: (-…

A: Given, fx=5x-223 The critical number is the value of x where f'(x) = 0 or undefined. The function…

Q: Using the Polya's Four Step Strategy, answer the following problems. 1. Every person at a party of…

A: 1).no of people = 28 the required no.of hellos are = 28 x 27 =756 in the party 756 hellos were said.…

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: Q.3 If f(x)= √x-2 2 (x² − x + 1)² Find (a) The intervals on which f is increasing, (b) The intervals…

A: Note: Given function is fx=x-2x2-x+12 The domain is 2,∞ a. Differentiate both sides,…

Q: For X~ t (17), give the R code that will compute the following. 1. P(X1.4) 3. P(0.45<X<1.31)

A: Assuming that "t(17)" refers to the Student's t-distribution with 17 degrees of freedom, you can use…

Q: Given f(x) is continuous on its domain of (-00,-4) U(-4,00) and f" (x)= (x-8)7(x-1)² (x+4)3 A. x = 1…

A: Inflection points are those points where second derivative changes sign and those points at which…

Q: If f(x) = x² - ²x² 5 4 5 4 has a relative maximum? 3 -x³+60, then what is the set of x values for…

A:

Q: 4. Let function f: R → R and function g: R → R be two functions for which f(g(x)) = x and g(f(x)) =…

A: We have to prove given statement.

Q: Let f(x) = and g(x) = 2х -1 Compute (f o g)(x) and determine the domain in x-2 interval notation.

A:

Q: 2. Let g(x) = [x]. Find: 2.a g ¹({0}) 2.b g¹({-1,0,1}) 2.c g ¹({x 10 < x < 1}).

A:

Q: . There is a function f that's continuous at 0 and f(x) = f(2x) for all x's please show that f must…

A: Answer for sub question 1a: First step is to show fx=f2-nx for each integer n≥0. If n=0: fx=f2-0x…

Q: Find x such that g(x)=8

A:

Q: (iv) p(39), where p is the Euler p-function.

A: Euler totient function and residue classes

Q: On [0, 67], ƒ(x) = }. Find all values of x. Find the x-intercepts of f(x) on [0, 87]. On [=, ), g(x)…

A:

Q: x - 2 Evaluate f (x) = at x = 2. %3D X - 2 Select one: A. Continuous B. Discontinuous

A:

Q: Q1. Let f,g : R → R be given by f(x) = 6x – 10 and g(x) = 4x+5. Find the domain of f(x) h(x) =…

A: Given             f(x)=6x-10           g(x)=4x+5            h(x)=f(x)fog(x)…

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.