Explanation A limit of a function at a point a is defined as the value that the function approaches as its argument approaches point a . The notation of limit is as follows: lim x → a ( f ( x ) ) = L , which is read as “limit of f ( x ) as x approaches a is L ” One-Sided Limits: A one-sided limit is a limit that only takes into account the values of a function that approaches a value from only one side i.e. either above or below. The right-side limit of a function f as it approaches a is give as lim x → a + ( f ( x ) ) = L The left-side limit of a function f as it approaches a is give as lim x → a − ( f ( x ) ) = L If right-side limit and left-side limit of a function are the same, then a two-sided limit exists for the function. Given: A limit as lim t → 0 c o s 1 t Formula Used: If there exists two sequences such that, { x n } n = 1 ∞ and { y n } n = 1 with x n ≠ c and y n ≠ c lim x n = lim y n = c lim f ( x n )</

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…

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Chapter 2, Problem 46CRE

To determine

The limit limt→0cos1t if the limit exists. If limit does not exist, then find out if one sided limit exists.

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Chapter 2, Problem 45CRE

Chapter 2, Problem 47CRE

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Chapter 2 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

Ch. 2.1 - Prob. 1PQ Ch. 2.1 - Prob. 2PQ Ch. 2.1 - Prob. 3PQ Ch. 2.1 - Prob. 4PQ Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E

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The limit lim t → 0 c o s 1 t if the limit exists. If limit does not exist, then find out if one sided limit exists.

Solution Summary: The author explains that a one-sided limit is defined as the value that the function approaches as its argument approaches point a .

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The limit limt→0cos1t if the limit exists. If limit does not exist, then find out if one sided limit exists.

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Chapter 2 Solutions