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Welcome to our world of fun trivia quizzes and quiz games:
The Number e
Specific Math Topics
"So this is a quiz on the number known as "e." It shouldn't be too bad for those that have been through calculus."
15 Points Per Correct Answer - No time limit
The number "e" is named after which mathematician?
What is special about the function f(x) = e^x?
The function has both vertical and horizontal asymptotes.
The function is its own derivative and antiderivative.
The function forms a spiral when graphed.
The function has no upper or lower bounds.
In pi = 3.14159265358979..., all of the digits except for 0 appear somewhere in the first 13 decimal places, so 0 is the last digit to make its first occurrence in pi. What is the last digit to make its first occurrence in e?
By the way...I am taking suggestions on how to give this question some better wording...
Consider the expression ln x. What type of logarithm is this?
To express e, you can take the sum of the reciprocals of the ________ of all of the whole numbers.
(One word, plural. Think about it!!!!!!!!!!!!!)
You can also express e as a limit. It is the limit of (1 + ____)^n as n tends to infinity.
The expression e^(ix), where i is the square root of -1 (the imaginary unit, i^2 = -1), is equal to what?
i (sin x + cos x)
sin x + i cos x
cos x + i sin x
When one is trying to find the amount of money gained from continuously compounded interest, e is raised to a function of what two variables?
Interest rate, time
Initial money, interest rate
Initial money, time
Initial money, interest rate, time
The last two questions are about the digits of e. First of all, fill in the missing digit:
e = 2.71828__
Suppose you are reading the digits of e from left to right. After the decimal point, how many digits would you pass before a string of three equal digits occurred? For example, in the number 1.234555, three digits pass (234) before the string of three equal digits (555) occurs.
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Compiled Oct 07 12