Consider the function given below and pick one or more CORRECT statement(s) from the following choices.
$$ f(x)=x^3-\frac{15}{2} x^2+18 x+20 $$
$$ \text { The value of }\mathop {\lim }\limits_{x \to \infty } \left(x-\sqrt{x^2+x}\right) \text { is equal to }$$
The maximum value of the function $h(x)=-x^3+2 x^2$ in the interval $[-1,1.5]$ is equal to _________ . (rounded off to 1 decimal place)
The expression for computing the effective interest rate $(i_{eff})$ using continuous compounding for a nominal interest rate of 5% is
$i_{eff} = \lim\limits_{m \to \infty} \left(1 + \frac{0.05}{m}\right)^m - 1$
The effective interest rate (in percentage) is ___________ (rounded off to 2 decimal places).
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