- #1
musicgold
- 304
- 19
Hi,
This is not exactly a homework problem. This is something I wonder all the time.
1. Homework Statement
We all know that the following expressions give different answers, even though the expressions are equivalent. My question is why does that happen. Why two expressions that are the same have different results.
## \frac {lim}{x \rightarrow \infty} \ \frac {x+1}{x} = ## Indeterminant
## \frac {lim}{x \rightarrow \infty} \ 1 + \frac {1}{x} = ## 1
Is there a problem with the basic mathematical axioms that is creating this situation? Why should it matter how I write the expression?
This is not exactly a homework problem. This is something I wonder all the time.
1. Homework Statement
We all know that the following expressions give different answers, even though the expressions are equivalent. My question is why does that happen. Why two expressions that are the same have different results.
Homework Equations
## \frac {lim}{x \rightarrow \infty} \ \frac {x+1}{x} = ## Indeterminant
## \frac {lim}{x \rightarrow \infty} \ 1 + \frac {1}{x} = ## 1
The Attempt at a Solution
Is there a problem with the basic mathematical axioms that is creating this situation? Why should it matter how I write the expression?
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