Finding Limits Graphically In Exercises 59–64, use the graph to find the limit (if it exists). lim x → c + f ( x ) (b) lim x → c − f ( x ) (c) lim x → c f ( x )
Finding Limits Graphically In Exercises 59–64, use the graph to find the limit (if it exists). lim x → c + f ( x ) (b) lim x → c − f ( x ) (c) lim x → c f ( x )
Finding a Limit In Exercises 41-46, write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.
limx→0 x2 − 5x2/x2
Evaluating a Two-Sided Limit Using the Limit Laws
look at one-sided limits of a piecewise-defined function and use these limits to draw a conclusion about a two-sided limit of the same function.
[T] In the following exercises, use a calculator to draw the graph of each piecewise-defined function and study the graph to evaluate the given limits.
f(x) = (x^2, x ≤ 3
(x + 4, > 3
(a) lim f(x)
x - > 3 -
(b) lim f(x)
x - > 3 +
Use the Algebra to evaluate the limit.
Use the Algebra to evaluate the limit.
Lim h-0 (2+h)2-4/h
Lim h-0 (10+h)2-100/h
Chapter 1 Solutions
Calculus: An Applied Approach (MindTap Course List)
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