For any real number x, the floor function (or greatest integer function) [x] is the greatest integer

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For any real number x, the floor function (or greatest integer function) [x] is the greatest integer less than or equal to x (see figure).

a. Compute lim_x→-1^_- [x], lim_x→-1^₊ [x], lim_x→2^_- [x], and lim_x→2^₊ [x].

b. Compute lim_x→2.3^_- [x], lim_x→2.3^₊ [x], and lim_x→2.3 [x].

c. For a given integer a, state the values of lim_x→a^_- [x] and lim_x→a^₊ [x].

d. In general, if a is not an integer, state the values of lim_x→a^- [x] and lim_x→a^₊ [x].

e. For what values of a does lim_x→a [x] exist? Explain.

УА х y = [x] -3 2.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 08, 2019 07:01 AM

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For any real number x, the floor function (or greatest integer function) [x] is the greatest integer

Question:

УА х y = [x] -3 2.

Step by Step Answer:

a b c In general for an integer ...View the full answer

Calculus Early Transcendentals

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