Question: Show that D(x) = lim m sin mx/x is a representation of (x) by showing that dxf (x)D(x) = (0).

Show that D(x) = limm→∞ sin mx/πx is a representation of δ(x) by showing that ∫∞−∞ dxf (x)D(x) = ∫ (0).

Step by Step Solution

★★★★★

3.31 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The calculation involves a change of variable The a... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Modern Electrodynamics Questions!

Q:

Shown here is a representation of a unit cell for a crystal. The orange balls are atom A, and the gray balls are atom B. a. What is the chemical formula of the compound that has this unit cell...

Q:

Shown is a representation of a DNA molecule being transcribed? a. Identify every 3² end and every 5² end in the picture. b. Identify the template strand. c. Te non template strand is also...

Q:

Shown here is a representation of a unit cell for a crystal. The orange balls are atom A, and the grey balls are atom B. a. What is the chemical formula of the compound that has this unit cell...

Q:

# 7 (chapter 5)(40 points, Due on Friday November 11) Question 1. [3 points each] Use the definition of Limit of functions to prove that x2 2 . 5 5 2 lim x 3 x 1 1 (B) x 1 (A) lim x 0 if x 2 2x (C)...

Q:

Hi, I have a classwork to do, the classwork are the ones that have classwork written above the task. Math 5A - Lecture Notes for Monday, 8/30 Last week we used the graph of a function to determine...

Q:

MATH 141, 141H FINAL EXAM, SAMPLE D 1. (5 points ) Evaluate lim x 4x2 + ln(x2 + 2) . 2x3 + cos2 x 5. (5 points) Find f 0 (x) if f (x) = xsin(x) . a) f 0 (x) = cos(x)xsin(x) \u0013 \u0012 cos(x) +...

Q:

Test Review 4 Math 1241 Name:_______________________________________ Chapters/Sections 3.7 - 4.7 Part I - Multiple Choice - You must show ALL your work to receive credit For #1-5, Use L'Hospital's...

Q:

1. (60 pts True/False. Indicate whether the statement is true or false. If the statement is false, present an explanation or counterexample. (No explanation necessary for each true statement.) (2...

Q:

3 Complete this assignment after you have finished Unit 4, and submit your work to your tutor for grading. Total points: 100 Weight: 10% (9 points) 1. An Earth-observing satellite can see only a...

Q:

3 Complete this assignment after you have finished Unit 4, and submit your work to your tutor for grading. Total points: 100 Weight: 10% (9 points) 1. An Earth-observing satellite can see only a...

Q:

The costs of energy consumed in producing good units in the Baking Department were $ 14,875 and $ 14,615 for June and July, respectively. The number of equivalent units produced in June and July was...

Q:

Construction company C and landlord L negotiate to build an office building for occupancy on September 1. Landlord L wants to sign up commercial renters to occupy the building on September 1....

Q:

5. Which of the following is not a cost center? a. An accounting department. b. A production department. c. A retail sales outlet. d. A maintenance department.

Q:

Suppose your friend is thinking of opening a new' restaurant, and she hopes that she will have around 20 groups of (on average) 4 customers on a typical busy evening. Each meal will take around 1.5...

Q:

We will abbreviate malonic acid, CH 2 (CO 2 H) 2 , as H2M. Find the pH and concentrations of H 2 M, HM + , and M 2+ in (a) 0.100 M H 2 M; (b) 0.100 M NaHM; (c) 0.100 M Na 2 M.

Q:

Starting with the fully protonated species, write the stepwise acid dissociation reactions of the amino acids glutamic acid and tyrosine. Be sure to remove the protons in the correct order. Which...

Q:

Draw the structure of the predominant form of pyridoxal-5-phosphate at pH 7.00.

Q:

Aa Aa 11. Can I afford this home? Part 1 Can Maria and Sam Afford This Home Using the Monthly Income Loan Criterion? Next week, your friends Maria and Sam want to apply to the Fifth State Bank for a...

Q:

The number of compounding periods in one year is called compounding frequency. The compounding frequency affects both the present and future values of cash flows. An investor can invest money with a...

Q:

what's the correct statement of cash flows?