Evaluating Limits Algebraically Worksheet

Evaluate each limit if it exists.

Evaluating limits algebraically worksheet. If the limit doesn t exist write dne. 4 2 lim x 4 x x 7. 1 2 1 lim x 3 2 x x 3.

Evaluating a limit algebraically the value of a limit is most easily found by examining the graph of f x. 2 3 9 lim x 3 x x 8. G worksheet by kuta software llc kuta software infinite calculus name evaluating limits date period evaluate each limit.

2 2 0 1 1 lim h h h 11. 2 2 2 lim x 2 x x x 6. 2 2 0 3 3 lim h h h 12.

I lim𝑥 0 𝑓 𝑥ὗ ii lim𝑥 0 𝑓 𝑥ὗ iii lim𝑥 1 𝑓 𝑥ὗ iv lim𝑥 2 𝑓 𝑥ὗ v lim𝑥 2 𝑓 𝑥ὗ vi lim𝑥 2 𝑓 𝑥ὗ b. However the graph is not always given nor is it easy to sketch. That is the function is connected at x a if f is continuous at x a then lim x a f x f a.

If you cannot determine the answer using direct substitution classify it as an indeterminate. Limits algebraically find the following limits. A function f is continuous at x a provided the graph of y f x does not have any holes jumps or breaks at x a.

2 1 2 lim x 2 x x x 5. Lim 2 2 3. Sketch the graph of 𝑓 𝑥ὗ.