if x=0 xt, ifxco Consider the precewise function f(x)=) ! (x²-1, itx>O Demonstrate that for this...

Question

Question

Answer 1

Answer #1

fulz xl, no 1, 2120 2²4, 270 Ito 2 ca ( lini U to lim f(x) f(x). lim (x-7) 30-12-1 ol no E lim (x²-1) 2012 Novie utot SVSH f(

Answer 2

Similar Homework Help Questions

Exercise 4 We have the below function: f(x) = { 2x - 1, if x >...

Exercise 4 We have the below function: f(x) = { 2x - 1, if x > 2 x +3, if x s 2 a. Find lim f(x) b. Find lim f(x) C. Find f(2) d. Determine if the function is continuous at point 2.
For Exercises 21 and 22, consider the function f given by 5x – 2, for x...

For Exercises 21 and 22, consider the function f given by 5x – 2, for x S 3, f(x) 1x - 1, for x > 3. у 5 4 3 N -1 -5-4-3-2-1 -1 1 2 3 4 5 х -4 If a limit does not exist, state that fact. 21. Find (a) lim -f(x); (b) lim+f(x); (c) lim f(x). 22. Find (a) lim-f(x); (b) lim-f(x); (e) lim f(x). 23
x if x>3 if 2<x<3 if x < 2 Given the following piecewise function: f(x)={-x |-0.5x...

x if x>3 if 2<x<3 if x < 2 Given the following piecewise function: f(x)={-x |-0.5x if it exists. h Find lim f(2+h)-f(2) -0+

Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) =...

Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
1. The definition of a limit says that lim f(x)=L means that for every & >o...

1. The definition of a limit says that lim f(x)=L means that for every & >o there exists a number 8 >0 such that if o < x-al<8, then f (x)-L<£. We have lim(x + 3x - 2) = 8. If < =0.01, find the largest possible value of that will satisfy the definition. Round your answer to the nearest ten-thousandth (that's four spots after the decimal point). If you're having trouble understanding the deltas and epsilons, that's normal. Another...
1 Define the concept of functions 2. Consider the function f(x)=x-x+S. (2) f(0) (1) 3. Consider...

1 Define the concept of functions 2. Consider the function f(x)=x-x+S. (2) f(0) (1) 3. Consider the function f(x) 3r-4 1-1, <2 x22 (2) (0) (1)

T or F Suppose that an > 0 and on > 0. Consider the following statements....

T or F Suppose that an > 0 and on > 0. Consider the following statements. 00 (-1)"cn must converge if cn > en+1 > 0. n=0 00 (i) į ay must converge if lim an = 0. n-00 n=0
Use the Mean Value Theorem to demonstrate that In(1 + x) < x, given that x...

Use the Mean Value Theorem to demonstrate that In(1 + x) < x, given that x > 0.
9. [7 points) Consider the function f(x) defined by f(x) = xeAs + B if x...

9. [7 points) Consider the function f(x) defined by f(x) = xeAs + B if x <3 C(x - 3)2 if 3 < x < 5 130 if > 5. C Suppose f(x) satisfies all of the following: f(x) is continuous at x = 3. • lim f(x) = 2 + lim f(x). 3+5+ 3-5- lim f(x) = -4. Find the values of A, B, and C. . 24-O

1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%)...

1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%) Determine k such that f(x) is a probability density function. b) (6%) Determine CDF of x. c) (4%) Using CDE, what is the p(x 0.75) d) (4%) Using CDE what is p(x<0.6) e) (4%) Determine E(x) Type here to search o TT