7. (20 points) Write a telescopic series including a trigonometric function, and show that it is...
1. Write down the first few terms of a sequence. How to determine if a sequence is convergent or divergent? 2. Write down the first few terms of a series. Partol sus 3. Tests to determine if a series is convergent or divergent. Divergent Test, Geometric Series Test, Telescopic Series Test, Integral Test, p-series Test, Comparison Test, Limit Comparison Test, Ratio Test, Root Test, Alternating Series Test 4. How to determine whether a series is geometric and whether it is...
Why is this one false?
False A Fourier series will converge to the value of the function at all points if the function has a sentation convergent Fourier series repre-
False A Fourier series will converge to the value of the function at all points if the function has a sentation convergent Fourier series repre-
Write the following expression as a single trigonometric function or a power of a trigonometric function. sec2x-1 Choose the correct answer below.
(5 Points) Use the unit circle values to find the value of the trigonometric function. Show all work! csc (****)
Write the following expression as a single trigonometric function or a power of a trigonometric function. sec B tanp CSCB Choose the correct answer below. o tan’B sin? Click to select your answer. Previous
Q5 13 Points Let f(x) = (1+20) Q5.1 7 Points Show that the Taylor series of f(x) around xo = 0 is (-1)"+121 -x+in. n=1 Hint: Use the power series for Geometric series)
Write several complete simple sentences about how each
series is convergent or divergent, including which testis applied!
nth-Term Test for Divergence, Geometric Series Test, p-Series Test,
Integral Test, Absolute Convergence, Alternating-Series Test, Ratio
Test, Root Test, Direct Comparison Test, & Limit Comparison
Test. Show each step clearly.
1 3. Σ=100 n
please help in any of these in
diff eq in Trigonometric Fourier Sine Series and Trigonometric
Cosine Series
Homework Problems for Handout Sheet 25 In Problems 1 to 4, determine the Fourier Sine Series that converges to the given function at each of its points of continuity 0 when 0x<1/2 1. f(x)=when 1/2<x<1' flx+2)= f(x). 0 when 4<x<-2 2. f(x)={2 when 0<x<1 , f(x+8)= f(x). 1 when 1<x<2 3. f(x) 2-x when 0<x<27, f(x+47)=f(x) 4. f(x) 7-x when 0<x<47, f(x+87)=...
Use the trigonometric substitution to write the algebraic expression as a trigonometric function of e, whe V 9 - x x = 3 sin e
4. Show how to get to each step. Clearly explain all work, including algebraic, trigonometric, and arithmetic simplification. Points will be taken off if steps are not shown or explained. (16 points) Vx2 (a) 9 - dx x3