Helpp

[Joy210]

2. Verify that each of the following statements is a false statement by finding a counterexample
for each. For all real numbers n:
a. ?
2 > ?
b. ?
?
= 1

 

[Dr.Peterson]

2. Verify that each of the following statements is a false statement by finding a counterexample
for each. For all real numbers n:
a. ?
2 > ?
b. ?
?
= 1

Please express those statements in words, or attach an image, so we can be sure what they are. I'd think the first is meant to be \(2^n>n\), except that that is true.

 

[lex]

Without wanting to keep guessing: my guess is [MATH]n^2>n[/MATH] and [MATH]\frac{n}{n}=1[/MATH]. (It is fun though).

When trying to find counterexamples, it is worth trying negative numbers, 0, and numbers with magnitude less than 1 e.g. 0.1, -0.1