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Chapter 4: Q. 6 (page 327)
Consider the sequence A(1), A(2), A(3),.....,A(n) write our the sequence up to n. What do you notice?
The first 10 terms of the sequence are
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Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find the value of.
Suppose on [1, 3] and on (−∞, 1] and [3,∞). Write the area of the region between the graphs of f and g on [−2, 5] in terms of definite integrals without using absolute values .
Determine which of the limit of sums in Exercises 47–52 are infinite and which are finite. For each limit of sums that is finite, compute its value
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Suppose f is positive on (−∞, −1] and [2,∞) and negative on the interval [−1, 2]. Write (a) the signed area and (b) the absolute area between the graph of f and the x-axis on [−3, 4] in terms of definite integrals that do not involve absolute values.
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