Calculus - sequences and series tests of convergenceuse the

Calculus - Sequences and series, tests of convergence.

Use the root test to show that a geometric series converges only if its ration has absolute value less than 1, or its initial term is 0.

Calculus - Sequences and series, tests of convergence.

Use Taylor's formula for f(x) = cos x.

= - (x- x/2) + 1/3! (x - x/2)³ - 1/5! (x- x/2)⁵ + ..............

To estimate cos 80⁰ with an error less than 0.0001.

Application of calculus-optimization problemtwo vertical : application of calculus-optimization problemtwo vertical poles pq and st are secured by a rope prs going from the top

Integrating a differential equation given the initial : integrating a differential equation given the initial values.a --0.0001275204323b 0.033810412806466when timet is zero

Compactnesssuppose k is compact set prove that k is of : compactness.suppose k is compact set. prove that k is of content zero if and only if is of measure zero. give a counter

Series convergencea prove using the definition that the : series convergence.a prove using the definition that the following sequence convergerradicnn 1b using the definition

Calculus - sequences and series tests of convergenceuse the : calculus - sequences and series tests of convergence.use the root test to show that a geometric series converges only

Integration by parts methodusing integration by parts : integration by parts method.using integration by parts evaluate nbspintx cos3x dx. check your answer by taking the

Summation and proof using mathematical inductionsuppose : summation and proof using mathematical induction.suppose that xn is a sequence of positive real numbers for which the

Derivative of the natural logarithm by using the : derivative of the natural logarithm by using the fundamental theorem of calculus.to find the derivative ofnbspynbsp

Determine accumulated rates of change using definite : determine accumulated rates of change using definite integral.give another example with solutions to emphasize that the