   Chapter 11.1, Problem 85E 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 77-88, say whether l’Hospital’s rule applies. If it does, use it to evaluate the given limit. If not use, some other method. lim x → − ∞ 10 x 2 + 300 x + 1 5 x + 2

To determine

To calculate: The value of limx10x2+300x+15x+2 by L’Hospital’s rule if it applies otherwise use some other method.

Explanation

Given information:

The provided limit is limx10x2+300x+15x+2.

Formula used:

L’Hospital’s rule:

If f and g are two differentiable functions such that substituting x=a in the expression f(x)g(x) gives indeterminate form 00 or , then limxaf(x)g(x)=limxaf'(x)g'(x).

Closed form function theorem:

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, limx10x2+300x+15x+2.

Substitute x= in the function 10x2+300x+15x+2,

10()2+300()+15()+2==

As, the function is in form

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