Σ n+1 (n+2)! n=0

Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

A: See the attachment

Q: 7. Let f(x) = re=- (a) Find all asymptotes of f(x) if they exist. (b) Find the intervals on which…

A: Vertical Asymptotes: The line x=L is called a verticle asymptote of the function y=f(x)=xe-x if the…

Q: How would you formaly write out a proof for the following problem: f'(1.5) = -1 if f(x) =|x - [x-1]|…

A: Find the derivative at x=1.5 of the function

Q: f(x) x² + 3

A: Consider the function fx=x4x2+3 Here, the objective is to find the convergence range of the…

Q: Find the value of k which makes F(x) =(x+k)/(4k-1) if x<=0 and F(x)= x^2+2x+k if x>0 if…

A:

Q: (2a + 6, a 6 is continuous at * = 6. Justify the conclusion. (4) f(8)= im f(2)= (éé6) lim f(a)= (év)…

A:

Q: 3. Is there a relation between the domain of a function and its interval of convergence?

A: From the given statement

Q: Find the total number of extreme points for the function f defined as, S-(x* +1)if xs1 f(x) = |(x-3)…

A: Given that, f(x)=-x2+1 if x≤1x-32    if  x>1

Q: 7.   The function is decreasing on the following intervals:

A: Ans:

Q: Consider the function f(x) = 4x² - 4x4.

A: Given, f(x)=4x2-4x4

Q: For the following function: f(x) = 10x³ – 8x2 + 5x + 20 %3D Using the simple fixed point iteration,…

A: f(x)=10x3-8x2+5x+20 To Find: Condition for the function to converge using simple fixed point…

Q: limit X----1    t+1/(t + 1)

A: Given function: t+1/(1+t)

Q: f(x) = = 3x – 5 1 -2 for for for Find f(−1) x < 1 x = 1 1 < x < 5

A: Given function

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: A runtime function f(n) E o(g(n)) if and only if, for every positive constant b, there exists a…

A: The complete solutions are given below

Q: Consider the function f(x) = Inx+2- whose graph is given below. (a) On the graph, illustrate how…

A: Draw a tangent line at f(x0) and if it crosses or cuts the x-axis then that point is x1. The Newton…

Q: f(x) = x(x-1) for rational numbers          = 0 for irrational numbers  Prove f is continuous at x…

A: Given function is continuous at x= 0 and x=1. See the attachment.

Q: Select all the intervals where g is decreasing.

A: Given data: The given graph of the curve g(x) is shown in the problem. By looking at the graph the…

Q: -5/7-3x with two intervals 36/5 and 19/5

A: For two Intervals  (36/5, 19/5) For X= 36/5 The Value of given expression is,

Q: f(x)=-x^(2)+11 on -3,4 What i(s)/(a)re the absolute maximu (m)/(m)axi

A:

Q: (5) f(x)=-2 is discontinuous at the number 2, this kind discontinuity is called_ (D) unable to judge…

A:

Q: (B) Test the continuity of the following function: (3 Marks) (5x +3 f(x) = }2x2 +5 - 5x + 3 ;x< 2 ;…

A: F(x) is not continuous at x equals 2 and 4, and continuous at all other real numbers.

Q: prove the inequality

A: According to the given information it is required to prove the below inequality.

Q: A runtime function f(n) E o(g(n)) if and only if, for every positive constant b, there exists a…

A: