Questions in fun-lim

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	If $f(x) = \begin{cases} x,\text{when x is rational} \\ 0, \text{when x is irrational} \end{cases}$ and $g(x) = \begin{cases} 0,\text{when x is rational} \\ x, \text{when x is irrational} \end{cases}$ then $(f-g)$ is
	Range of the function $f(x)=\frac{{{x}^{2}}}{{{x}^{2}}+1}$is
	The function f satisfies the functional equation $3f(x)+2f\left( \frac{x+59}{x-1} \right)=10x+30$ for all real $x\ne 1$. The value of $f(7)$ is
	If ${{e}^{x}}=y+\sqrt{1+{{y}^{2}}}$, then y =
	Let $f:(2,\,3)\to (0,\,1)$ be defined by $f(x)=x-[x]$ then ${{f}^{-1}}(x)$ equals
	If $f(x) = \begin{cases} x\sin \frac{1}{x},\;\;\;\;\;x \ne 0\\ \;\;\;\;\;\;0,\;\;\;\;\;x = 0 \end{cases}$, then $\underset{x\to 0}{\mathop{\lim }}\,f(x)=$
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{{{x}^{3}}\cot x}{1-\cos x}=$
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{x({{e}^{x}}-1)}{1-\cos x}=$
	$\underset{x\to 1}{\mathop{\lim }}\,\frac{1}{\|1-x\|}=$
	$\underset{n\to \infty }{\mathop{\lim }}\,\frac{n{{(2n+1)}^{2}}}{(n+2)({{n}^{2}}+3n-1)}=$