- #1
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I'm given the fact that exp(y) ≥ 1 + y for all y
I will use this for sinh. Since sinh = (exp(y) - exp(-y))/2 we have for y=3 as example:
sinh(3) ≥ 3 by subtracting the two inequalities
Instead for sinh(-3) I get:
sinh(-3) ≥ -3 (1)
But something is wrong here: Because if I take the first inequality sinh(3) ≥ 3 and multiply it by (-1) and switch around the inequality sinh and using the fact that
-sinh(3) = sinh(-3) I get:
sinh(-3) ≤ -3 (2)
This is clearly weird. Which of (1) and (2) is right and why is other one wrong?
I will use this for sinh. Since sinh = (exp(y) - exp(-y))/2 we have for y=3 as example:
sinh(3) ≥ 3 by subtracting the two inequalities
Instead for sinh(-3) I get:
sinh(-3) ≥ -3 (1)
But something is wrong here: Because if I take the first inequality sinh(3) ≥ 3 and multiply it by (-1) and switch around the inequality sinh and using the fact that
-sinh(3) = sinh(-3) I get:
sinh(-3) ≤ -3 (2)
This is clearly weird. Which of (1) and (2) is right and why is other one wrong?