Help!

Which is greater? [e^x] or e^[x] . . Is one always greater than the other? Or one of them is greater in a certain interval??

NOTE:Here [] is the greatest integer function.

#Calculus #Inequalities #Exponential #ExponentialFunction #Provinginequalities

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}`	$\boxed{123}$

Comments

Graph shows it all In the figure, green one is $\lfloor e^{x} \rfloor$ while the blue one is $e^{\lfloor x \rfloor}$

Pranjal Jain - 6 years, 7 months ago

BTW which software it is ? From what I see I suspect it to be via Bluestacks.

Nishant Sharma - 6 years, 7 months ago

Nope! Not bluestacks! Although its android app so you may use bluestacks to run it on PC. Play store link: Download

Pranjal Jain - 6 years, 7 months ago

Pls let me know!

Yashovardhan Singh - 6 years, 7 months ago

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}`	$\boxed{123}$