User S.H.W - Bicycles Stack Exchange

S.H.W

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Feb 12

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13

True or False : If $f(x)$ and $f^{-1}(x)$ intersect at an even number of points , all points lie on $y=x$

8

Find number of real roots using Sturm's method.

8

Is $ \lim_{n \to \infty} a_n ^{b_n} = e^{\lim_{n \to \infty}(a_n - 1)b_n}$ always true?

8

Prove that there is a $m \in \mathbb{R}$ so that $f(f(m)) = m$

7

If the graphs of $f(x)$ and $f^{-1}(x)$ intersect at an odd number of points, is at least one point on the line $y=x$?