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Jul
19
comment Differential equations,x[t] is periodic
What are your initial conditions?
Jul
19
comment Differential equations,x[t] is periodic
If you are interested in an approximate solution I can post it for you.
Jul
19
revised Differential equations,x[t] is periodic
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Jul
19
answered Differential equations,x[t] is periodic
Jul
19
revised Check: Find the Fourier transform of $f(x)=ax+b$ with $a,b \in \Bbb R$.
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Jul
19
comment Check: Find the Fourier transform of $f(x)=ax+b$ with $a,b \in \Bbb R$.
@UsernameUnknown: So you should know the Fourier transform of the delta function which is $1$ and the inverse Fourier transform of $1$ is the delta function $\delta(x)$. Now split your integral and try to work out the problem.
Jul
19
comment Check: Find the Fourier transform of $f(x)=ax+b$ with $a,b \in \Bbb R$.
@UsernameUnknown: Forget about the property for a while. Have you studied the delta function and its Fourier transform?
Jul
19
revised Check: Find the Fourier transform of $f(x)=ax+b$ with $a,b \in \Bbb R$.
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Jul
19
answered Check: Find the Fourier transform of $f(x)=ax+b$ with $a,b \in \Bbb R$.
Jul
19
revised Evaluating $\lim_{n \rightarrow \infty} \int^{n}_{0} (1+\frac{x}{n})^{-n} \log(2+ \cos(\frac{x}{n})) \> dx$
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Jul
19
comment Compute Taylor Series
(+1) nice answer.
Jul
19
revised Evaluating $\lim_{n \rightarrow \infty} \int^{n}_{0} (1+\frac{x}{n})^{-n} \log(2+ \cos(\frac{x}{n})) \> dx$
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Jul
18
revised Evaluating $\lim_{n \rightarrow \infty} \int^{n}_{0} (1+\frac{x}{n})^{-n} \log(2+ \cos(\frac{x}{n})) \> dx$
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Jul
18
answered Evaluating $\lim_{n \rightarrow \infty} \int^{n}_{0} (1+\frac{x}{n})^{-n} \log(2+ \cos(\frac{x}{n})) \> dx$
Jul
18
comment Evaluating $\lim_{n \rightarrow \infty} \int^{n}_{0} (1+\frac{x}{n})^{-n} \log(2+ \cos(\frac{x}{n})) \> dx$
Domainated convergence theorem is your tool.
Jul
18
comment Line integral parametrization
Your approach is correct. Good job.
Jul
18
comment Another integral for $\pi$
See here.
Jul
18
comment Bound in Complex Analysis
Here is a related technique.
Jul
18
comment Bound in Complex Analysis
Are you sure of the bound?
Jul
18
comment Proving that a function is analytic
Morera's theorem will do the trick.