Question: $ lim _ { x to infty } left ( sqrt { 9 x ^ { 2 } + x

$\lim_{x\to\infty}\left(\sqrt{9x^{2}+x}-3x\right)$

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

function f that satisfies the following lim x rightarrow infty f x 2 lim x rightarrow infty f x 2 lim x rightarrow 1 f x infty lim x rightarrow 1 f x infty lim x rightarrow 3 f x infty lim x...

Q:

2. Evaluate the limit if it exists or explain why it does not exist. (Do not use L'hospital rules!) (a) $\lim _{x ightarrow-1} \frac{2-\sqrt{f(x)}}{x+1}$ if $f(-1)=4, f(x)>0$ for all $x$ and...

Q:

2. Evaluate the limit if it exists or explain why it does not exist. (Do not use L'hospital rules!) (a) $\lim _{x ightarrow-1} \frac{2-\sqrt{f(x)}}{x+1}$ if $f(-1)=4, f(x)>0$ for all $x$ and...

Q:

2. Evaluate the limit if it exists or explain why it does not exist. (Do not use L'hospital rules!) (a) silim _{x ightarrow-1} \frac{2-\sqrt{f(x)}}{x+1}$ if $f(-1)=4, f(x)>0$ for all $x$ and...

Q:

$$ A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal...

Q:

$$ A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal...

Q:

$$ \begin{array}{1} \begin{array}{1} \text { The Sandwich Theorem } \ \text { Suppose that } g(x) \leq f(x) \leq h(x) \text { for all } x \text { in some open interval containing cexcept possibly } \...

Q:

$$ \begin{array}{1} \begin{array}{1} \text { The Sandwich Theorem } \ \text { Suppose that } g(x) \leq f(x) \leq h(x) \text { for all } x \text { in some open interval containing cexcept possibly } \...

Q:

$$ \begin{array}{1} \begin{array}{1} \text { The Sandwich Theorem } W \text { suppose that ) g(x) \leq f(x) \leq h(x) \text { for all } x \text { in some open interval containing cexcept possibly } W...

Q:

Question 8 A Desmos Graphing Calculator Link Evaluate the limit `lim_( x rarr \\infty ) \\ (sqrt( 6 + 2x12 )) /(7 + 2x) Question Help: [ Video D Post to forum Submit Question Jump to

Q:

A wife and her three grown-up children lived together in a house. The wife of one of the children did some decorating and later the children promised to pay her 488 and they signed a document to this...

Q:

Write a paper on Business Ethics and answer the following questions 1. Defend Facebook (that is, argue that it is ultimately a good company) from a utilitarian point of view. Be sure to define...

Q:

What is the direct material price variance ?? Hamilton Industries developed the following per unit standards for its product: 8 pounds of direct materials at $7.35 per pound. Last month, 36,000...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...