I need your help, please help me.

What you can conclude about functions if f(x)*g(x)= (a finite number) and f(x) is tending to infinity and g(x) is tending to zero for a given value of x?

Can I replace f(x) by a diverging series and g(x) by a converging series (which converges to zero).

What is conclusion when I replace n by diverging series and r by a converging series?

It might seems foolishness but what can we conclude if we replace function by numbers such that one number tends to infinity while other tends to zero.

#Calculus

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$