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-rw-r--r--Problem Set 1.page4
1 files changed, 2 insertions, 2 deletions
diff --git a/Problem Set 1.page b/Problem Set 1.page
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--- a/Problem Set 1.page
+++ b/Problem Set 1.page
@@ -1,5 +1,5 @@
## Countability
-$\int_0^\infty$
+
1. Group the following sets according to their cardinality:
a. $\mathbb{N} = \{ 1,2,3,4,\dots \}$
@@ -25,7 +25,7 @@ Cook up other examples and post them on the wiki!
- $g(x) = x(x-2\pi)$ (Hint: Use integration by parts)
2. Show that
-$\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4} $
+$\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4}$
(Hint: write out the exponential fourier expansion of $\sin^4(x)$.)
3. Compute the exponential Fourier coefficients of $\sin^2(x)$: