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Limit of integral that can't be integrated

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#calculus #integration #limits
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What is the formula for finding the summation of an exponential function?

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#calculus #exponential-sum
74
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Finding limit of I(n)..

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#calculus #integration #sequences-and-series #limits
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Proving the Delta Function Composition Identity

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#calculus #physics #dirac-delta
96
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Chain rule festival, show $x\frac{\partial z}{\partial x} + y\frac{\partial z}{\partial y} = z-xy$

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#calculus #multivariable-calculus #derivatives #chain-rule
729
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Integration of $\int^2_0 x(8-x^3)^{1/3}dx$

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#calculus #integration
145
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$\sup_{x,y}\frac{|f(x)-f(y)|}{|x-y|} = \sup_x \|D_f(x)\|$

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#calculus #derivatives #normed-spaces
283
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$\sum_{k=0}^\infty \frac{(-1)^k}{kn+1}$ and $\int_0^1 \frac{dx}{x^n+1}$

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#calculus #sequences-and-series #definite-integrals #complex-numbers
120
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Confusing derivative in $C([0,1])$

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#calculus #real-analysis #functional-analysis
4.4k
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Proof that $\lim_{x\to \infty} (1+(x/n))^n = e^x$ Using Monotone Convergence Theorem

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#calculus #real-analysis #limits #functions #limits-without-lhopital
1.1k
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Calculating the area with simple and double integrals

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#calculus #area
114
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Sequential characterization of non-equicontinuous sequence

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#calculus #real-analysis #functional-analysis #ordinary-differential-equations #equicontinuity
1.1k
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Does the derivative of a function need to be continuous if the function is differentiable

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#calculus
80
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Show $g^{(n)}(0)=0$ for all $n = 0,1,2,3,\dots$

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#calculus #derivatives #taylor-expansion
69
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How to use integration by parts to solve an integral?

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#calculus #integration

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