Understanding the fundamental concept of limits
Find limit: lim(x→2) (3x + 1)
For polynomials, substitute the value: 3(2) + 1 = 7
Evaluate: lim(x→0) (sinx)/x
This is a fundamental limit equal to 1
Find: lim(x→3) (x²-9)/(x-3)
Factor numerator: (x-3)(x+3)/(x-3) = x+3, then substitute x=3
What does lim(x→a) f(x) = L mean?
Limit describes behavior as x approaches a, not necessarily the value at a
Find: lim(x→∞) 1/x
As denominator grows infinitely large, fraction approaches 0