Chapter 10: Q. 28 (page 777)
Calculate the limits in Exercises , using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.
localid="1648227587052" .
Short Answer
The value of is,
Chapter 10: Q. 28 (page 777)
Calculate the limits in Exercises , using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.
localid="1648227587052" .
The value of is,
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Get started for freeIn Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.
In Exercises 36–41 use the given sets of points to find:
(a) A nonzero vector N perpendicular to the plane determined by the points.
(b) Two unit vectors perpendicular to the plane determined by the points.
(c) The area of the triangle determined by the points.
(Hint: Think of the -plane as part of .)
Prove the first part of Theorem (a): If , then . (Hint: Given , choose . Then show that for it must follow that .)
In Exercises 22–29 compute the indicated quantities when
Consider the sequence of sums
(a) What happens to the terms of this sequence of sums as k gets larger and larger?
(b) Find a sufficiently large value of k which will guarantee that every term past the kth term of this sequence of sums is in the interval (0.49999, 0.5).
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