Chapter 4.5, Problem 17E

### Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516

Chapter
Section

### Calculus: Early Transcendental Fun...

7th Edition
Ron Larson + 1 other
ISBN: 9781337552516
Textbook Problem

# Finding a Limit In Exercises 17-42, find the limit, if it exists. lim x → ∞ ( 4 + 3 x )

To determine

To calculate: The limit of the expression limx(4+3x) if it exists.

Explanation

Given:

The expression limx(4+3x).

Formula Used:

The limit of a rational function at infinity could be computed as follows when the terms in both the numerator and the denominator are arranged in decreasing order of their powers:

If the power of the first terms of the numerator is greater than the power of the first term of the denominator, the limit of the provided rational function at infinity would not exist.

If the power of the first terms of the numerator is less than the power of the first term of the denominator, the limit of the provided rational function at infinity would be zero.

If the power of the first terms of the numerator is equal to the power of the first term of the denominator, the limit of the provided rational function at infinity would be ratio of the coefficient of the first term in the numerator and the coefficient of the first term in the denominator

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