Q. 24.0( 35 Votes )
Show that the function given by f (x) = e2x is strictly increasing on R.
Answer :
Let x1 and x2 be any two numbers in R.
The, we have,
x1 < x2
⇒ 2x1 < 2x2
⇒ e2x1 < e2x2
⇒ f(x1) < f(x2)
Therefore, f is strictly increasing on R.
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