- #1
synergix
- 177
- 0
Homework Statement
lim ((h-1)3 +1)/h
h->0
The Attempt at a Solution
I couldn't get started on this one I don't know what to do
Limiting Solutions: (h-1)3 +1)/h as h Approaches 0
- Thread starter synergix
- Start date
Click For Summary
SUMMARY
The limit of the expression ((h-1)³ + 1)/h as h approaches 0 evaluates to 1. The solution involves expanding (h-1)³, which simplifies the calculation. By substituting h with values approaching 0, the limit can be confirmed to be 1. This problem illustrates the application of limits in calculus, specifically using polynomial expansion.
PREREQUISITES- Understanding of limits in calculus
- Familiarity with polynomial expansion techniques
- Knowledge of basic algebraic manipulation
- Experience with evaluating limits as variables approach specific values
- Study polynomial limit problems in calculus
- Learn about L'Hôpital's Rule for indeterminate forms
- Explore Taylor series expansions for approximating functions
- Practice evaluating limits involving rational functions
Students studying calculus, particularly those focusing on limits and polynomial functions, as well as educators looking for examples to illustrate limit evaluation techniques.
Similar threads
- · Replies 2 ·
- · Replies 4 ·
- · Replies 4 ·
- · Replies 6 ·
- · Replies 20 ·
- · Replies 5 ·
- · Replies 5 ·
- · Replies 1 ·
- · Replies 12 ·