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Chapter 1: Q. 10 (page 148)

Determine which of the given forms are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.

01,00,0鈭�,1鈭�,鈭�1,鈭�0,鈭�鈭�

Short Answer

Expert verified

The indeterminate forms are00,1鈭�,鈭�0,and鈭�鈭�

Step by step solution

01

Step 1. Given Information

The given limits are01,00,0鈭�,1鈭�,鈭�1,鈭�0,鈭�鈭�

02

Step 2. Identifying Indeterminate forms  

01is non-indeterminate forms and is equal to zero.

00 is indeterminate forms of limit because 0 to the power 0 is undefined!

0鈭�is indeterminate forms .

1鈭�is equal to one because one is multiplied by infinity gives 1.

鈭�1is undefined. when infinity is multiplied by any number, answer will be zero.

鈭�0is non-indeterminate forms and is equal to one.

鈭�鈭�is indeterminate forms .

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Most popular questions from this chapter

Write each of the inequalities in interval notation:

x2-1+3<0.5

For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx鈫�3x4.

For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:

Write each of the inequalities in interval notation:

3x+1-2<0.1

Write delta-epsilon proofs for each of the limit statements in Exercises 47鈥�60.

limx鈫�2x2-3x+2x-2=1
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