   Chapter 10, Problem 29RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 7–30, calculate the limit algebraically. If the limit does not exist, say why. lim x → + ∞ 1 + 2 − 3 t 1 + 5.3 e − t

To determine

To calculate: The value of limt+1+23t1+5.3et algebraically and provide reason if limit does not exist.

Explanation

Given information:

The provided limit is limt+1+23t1+5.3et.

Formula used:

Continuity of closed form function theorem:

Every function that is closed is continuous on its domain. If f is a closed form function and f(a) is defined, then limxaf(x) exists and limxaf(x)=f(a).

Calculation:

Consider the limit, limt+1+23t1+5.3et

Where, f(t)=1+23t1+5.3et

As t is approaching +, the numerator term 23t tends to approach zero and the denominator term 5.3et tends to approach zero.

The limit obtained is as follows:

limt+1+23t1+5

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