List of top Mathematics Questions on Functions asked in LPUNEST

\(f:\mathbb{R}-\{0\}\rightarrow\mathbb{R}\) given by \[ f(x)=\frac{1}{x}-\frac{2}{e^{2x}-1} \] can be made continuous at \(x=0\) by defining \(f(0)\) as:
If \[ y=\frac{1}{2}\sin^{-1}\!\left(\frac{2xy}{x^2+y^2}\right) \] and \(y<x\), then \[ \lim_{y\to 0} x = \]
\(f:\mathbb{R}\rightarrow\mathbb{R}\) is a function defined by \[ f(x)=\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}} \] Then \(f\) is
The graph of the function \(y=f(x)\) is symmetrical about the line \(x=2\), then