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Browse Classroom Capsules and Notes

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The authors provide a condition for a function to have nested \(n\)-th degree Taylor polynomials with varying centers, which can approximate the function visually.

A mysterious pattern when \(\tan x\) tends to infinity is found and explained in terms of L'Hospital's rule.

The author describes the shape of an overhead cable suspended from a horizontal deck with non-uniform lineal mass.

The author finds a more effective way to deal with partial fractions with an irreducible quadratic denominator.

The authors provide a geometric proof for the limit , \(\frac{\sin t}{t}\), simpler than the geometric proof found in most calculus textbooks.