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Chapter 1: Q. 44 (page 153)

Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.

0-鈭�.

Short Answer

Expert verified

The given limit form is an indeterminate form.

Step by step solution

01

Step 1. Given Information.

Given a limit form:0-鈭�.

02

Step 2. Indeterminate forms available.

Wehavefollowing7indeterminateformsavailablewithus:鈭�0,鈭�-鈭�,00,鈭�鈭�,00,0脳鈭�,1鈭�.

03

Step 3. Determining the value of the limit form given.

Since, as we see given limit form is not in the list of given indeterminate forms in step 2 but it is a derived indeterminate form. Since, the value of 0鈭�is indeterminate is given. Now,

0-鈭�=10鈭�. Since, if the value of 0鈭�is indeterminate, then the value of 10鈭� is also indeterminate.

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