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Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
Prove and answer if it is still true if we replace zero in the statement above by some other number.
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
Let I be the ring of integral Hamilton Quaternions and define N: I ->Z by N(a+bi+cj+dk) = a^2 +b^2 +c^2+d^2
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
Brian and Hayden go out for dinner and the bill comes to $120.00. Hayden usually tips more than 20% of the bill and Brian usually tips at most 25% of the bill.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Evaluate the coordinate of centroid using multiple integral method - Find the z- coordinate of the centroid of T
The one percent level of significance
An elevator has 4 passengers and 8 floors. Find the probability that no 2 passengers get off on the same floor considering that it is equally likely that a person will get off at any floor
Evaluate whether the given sets of vectors form a basis or not.
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
Explanation to "Statistics - Probability" question Suppose you randomly place 'r' indistinguishable balls into 'n' boxes. (a) how many different ways do you have
Multiply and simplify the given expression - Multiply and simplify: (2x 3 + 3) (5x - 6 + x 2 )
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