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- Polar Coordinates as a Definitive Technique for Evaluating Limits
A lot of questions say "use polar coordinates" to calculate limits when they approach 0 0 But is using polar coordinates the best way to evaluate limits, moreover, prove that they exist? Do they account for every single possible direction to approach a limit, for example, along a parabola Specifically, if I were to show that
- Evaluating $ \\lim\\limits_{n\\to\\infty} \\sum_{k=1}^{n^2} \\frac{n}{n . . .
How would you evaluate the following series? $$\\lim_{n\\to\\infty} \\sum_{k=1}^{n^2} \\frac{n}{n^2+k^2} $$ Thanks
- Evaluating $\\lim\\limits_{n\\to\\infty} e^{-n} \\sum\\limits_{k=0}^{n . . .
I'm supposed to calculate: $$\\lim_{n\\to\\infty} e^{-n} \\sum_{k=0}^{n} \\frac{n^k}{k!}$$ By using WolframAlpha, I might guess that the limit is $\\frac{1}{2
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Compute without using L'Hospital's Rule $$\\lim_{x\\to 0}\\dfrac{e^x+e^{-x}-2}{1-\\cos x} $$ I thought of simplifying the limit as shown below \\begin{align} \\lim
- Is there a way to get trig functions without a calculator?
In school, we just started learning about trigonometry, and I was wondering: is there a way to find the sine, cosine, tangent, cosecant, secant, and cotangent of a single angle without using a calc
- Purpose Of Adding A Constant After Integrating A Function
I would like to know the whole purpose of adding a constant termed constant of integration everytime we integrate an indefinite integral $\\int f(x)dx$ I am aware that this constant "goes away" when
- integration - Help evaluating triple integral over tetrahedron . . .
Help evaluating triple integral over tetrahedron Ask Question Asked 10 years, 10 months ago Modified 1 year, 2 months ago
- Using Horners Method - Mathematics Stack Exchange
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