Question

Is the set A={k sin(2k-1) | k=-3,-2,-1,0,1,2,3,4,5,…} countable? Justify your answer.

Is the set A={k sin(2k-1) | k=-3,-2,-1,0,1,2,3,4,5,…} countable? Justify your answer.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Prove that {2k+1: k ∈ Z}={2k+3 : k ∈ Z} 2. Prove/disprove: if p and...
1. Prove that {2k+1: k ∈ Z}={2k+3 : k ∈ Z} 2. Prove/disprove: if p and q are prime numbers and p < q, then 2p + q^2 is odd (Hint: all prime numbers greater than 2 are odd)
Show that the equation x+sin(x/3)−8=0 has exactly one real root. Justify your answer.
Show that the equation x+sin(x/3)−8=0 has exactly one real root. Justify your answer.
We often reason with trigonometric identities such as sin^2(x) + cos^2(x) = 1. Given a set...
We often reason with trigonometric identities such as sin^2(x) + cos^2(x) = 1. Given a set of such identities S and an identity to prove using the set S, what would be the most efficient data structure and algorithm for this purpose. Justify your answer. Explain the representation of the identities with an example.
c.) Determine whether the seriesX∞ k=1 k(k^4 + 2k)/(3k 2 − 7k^5) is convergent or divergent....
c.) Determine whether the seriesX∞ k=1 k(k^4 + 2k)/(3k 2 − 7k^5) is convergent or divergent. If it is convergent, find the sum. d.) Determine whether the series X∞ n=1 n^2/(n^3 + 1) is convergent or divergent.
Define the set E to be the set of even integers; that is, E={x∈Z:x=2k, where k∈Z}....
Define the set E to be the set of even integers; that is, E={x∈Z:x=2k, where k∈Z}. Define the set F to be the set of integers that can be expressed as the sum of two odd numbers; that is, F={y∈Z:y=a+b, where a=2k1+1 and b=2k2+1}.Please prove E=F.
tan plane at (1,1) v(j,k)= ln(10j^2 2k^2 + 1)
tan plane at (1,1) v(j,k)= ln(10j^2 2k^2 + 1)
5. (a) Find the values of 2k mod 9 where k = 1, 2, 3, 4,...
5. (a) Find the values of 2k mod 9 where k = 1, 2, 3, 4, 5, 6, 7, 8, 9. (b) Find the remainder of 2271 when this number is divided by 9. (c) Find the remainder of 2271 when this number is divided by 5. PLEASE GIVE RIGHT ANSWERS AND GOOD DETAILS ON HOW TO GET THE ANSWERS THE ANSWERS I GOT YESTERDAY FROM YOUR GUYS WERE WRONG!!!
If p = 2k − 1 is prime, show that k is an odd integer or...
If p = 2k − 1 is prime, show that k is an odd integer or k = 2. Hint: Use the difference of squares 22m − 1 = (2m − 1)(2m + 1).
Prove that the set of real numbers of the form e^n,n= 0,=+-1,+-2,... is countable.
Prove that the set of real numbers of the form e^n,n= 0,=+-1,+-2,... is countable.
Prove that the set of 2×2 matrices with natural number entries is countable.
Prove that the set of 2×2 matrices with natural number entries is countable.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT