- #1
screamtrumpet
- 16
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Homework Statement
lim t^2-9/t-3
x>3
Homework Equations
The Attempt at a Solution
I factored it into (t-3)(t+3)/(t-3)
i then canceled out the (t-3)'s and substituted 3 to get 6 is this correct?
The equation t^2-9/t-3 is a rational expression that can be simplified by factoring and substitution.
Factoring is the process of breaking down an expression into its smaller, simpler parts. In the case of t^2-9/t-3, we can factor out the common factor of (t-3) from both the numerator and denominator to simplify the expression.
Substitution involves replacing a variable in an equation with a given value. In the case of t^2-9/t-3, we can substitute t=3 into the equation to simplify it to 0/0, which is undefined.
The limits of t^2-9/t-3 represent the values that t approaches as it gets closer and closer to a certain value. In this case, the limit is undefined as t approaches 3, since the expression becomes 0/0 which is undefined.
By factoring and simplifying the expression, we can determine which values of t would result in an undefined expression. Then, we can use substitution to evaluate the expression at those values and determine the limits of t^2-9/t-3.