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116 review test 1

116 review test 1 - 3 1 3 1 2 n n n n n n n a a e a n = = =...

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Math 16- midterm review test #1 1.) You will be provided with the tests that determine convergence and divergence therefore no other cheat-sheets are allowed. Same sheet you worked with on Thrs. 2.) Test will have two parts, a true/false fill in the blanks section that will test your vocabulary and basic understanding of the concepts we have covered in class so far. So look over theorems and definitions carefully. The chapter review on page 758 is a good starting point 3.) Section 4.4 L'Hospital's rule for indeterminate forms like: 0 0 0 a h - a Evaluate the limit 0 lim ln( ) x x x + Evaluate the limit 0 1 lim cos 1 x x e x x e - - - Evaluate the limit sin 0 lim x x x e 4.) Improper integrals: Be able to evaluate improper integrals to determine if they converge or diverge. 3 2 0 0 sin dx dx x xdx x x e - 1 0 dx x e Be careful of discontinuities. 5.) Determine if the sequence converges.
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Unformatted text preview: 3 1 3 ! 1 2 n n n n n n n a a e a n = = = + 6.) Series…. .You will be given several different types of series to evaluate. . Expect . .geometric, p-series, telescoping, harmonic, alternating ect. You need to use your knowledge of series and the appropriate tests to determine convergence. Additionally you will be asked to estimate the Sum using techniques we have developed in class. Look over your homework. Especially the exercises for section 11.7 Estimation techniques are those where we used n R to estimate the Sum of a series, also we know the value of the Sum for a convergent geometric series so don’t be surprised if asked. 7.) Looks like a page of theory and about 10 problems, You have plenty of time!!!!...
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