A simple calculus limit problem

Calculus Level 2

What is

$\lim_{x \to +\infty} \frac {1}{x}?$

0 1

\infty

1 solution

A Former Brilliant Member
Jul 23, 2020

First we test some values for $\dfrac 1x$ :

$x=1 \implies 1$

$x=2 \implies \frac 12$

$x=3 \implies \frac 13$

$x=10 \implies \frac 1{10}$

$x=100 \implies \frac 1{100}$

$x=1000 \implies \frac 1{1000}$

$x=10^{100} \implies \frac 1{10^{100}}$

We see that the value goes near $0$ , so we know $\dfrac 1 \infty =0$ .

You should include everything related to an equation $x$ , $=$ , $+$ , $-$ in LaTex. You just need to use a pair of \ ( and \ ). I have edited the problem and your solution take a look.

Chew-Seong Cheong - 10 months, 3 weeks ago

The last line, I think is wrong. $\lim_{x\rightarrow+\infty} \dfrac{1}{x} \neq \dfrac{1}{\infty}$

Vinayak Srivastava - 10 months, 3 weeks ago

A simple calculus limit problem

1 solution

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