5 Questions
Prove that $1 + rac{x^2}{ ext{cos } x} = 1 + O(x^4)$ as $x$ approaches 0.
Yes
Express the sequence $x_n = rac{3n^2 + 4n}{n^2 + 1}$ as $L + O(z^n)$.
Yes
Prove that the function $f(x) = x^3 + 4x^2 - 10$ has a root in the interval $[1, 2]$.
Yes
Determine the number of bisection iterations that guarantee an approximation correct within 6 decimal places for a function $f$ in the interval $[3, 5]$ with a unique root.
Yes
Verify that the function $g(x) = rac{4}{4+x}$ has a unique fixed point in the interval $[1, 2]$.
Yes
Learn about Euler's method for approximating solutions of initial value problems. This quiz covers using Euler's method with different step sizes to approximate solutions of given differential equations, including discussing issues that may arise with the method.
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