Math Problem Statement
Find the indicated limit.
lim t→2 (6t2 − 3t + 1)
Solution
To find the limit of the given function as :
We can substitute directly into the expression, since the function is a polynomial and continuous everywhere.
Thus, the limit is:
Would you like a more detailed explanation or have any questions?
Here are five related questions for further practice:
- What is ?
- How would you evaluate ?
- What is the limit of ?
- Can you compute ?
- How do you find ?
Tip: Polynomials are continuous everywhere, so direct substitution is a valid method for finding limits involving polynomials.
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Math Problem Analysis
Mathematical Concepts
Limits
Polynomials
Continuity
Formulas
Direct substitution for limits of polynomials: lim t→c f(t) = f(c)
Theorems
Polynomial Continuity Theorem
Suitable Grade Level
Grades 10-12