Validity of the limit
Prove the validity of the limit lim x->x_0 (ax+b)=ax_0+b by converting to a statement about sequences.
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Make up an example of a problem which features the terms below, and solve them. It can be a extremely simple straightforward problem.
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How can you find the number of possible outcomes of a playoff between two teams where the first team to win four games wins the playoff?
Determine the general solution of given differential equation. Provide largest interval over which the general solution is defined. Find out transient term.
Use reduction of order or formula to find a second solution
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