Recognize when a limit is indicating there is a vertical asymptote. {{CMD_4}} Evaluate the limit as {{MATH_5}} approaches a point where there is a vertical asymptote. {{CMD_6}} Match graphs of functions with their equations based on vertical asymptotes. {{CMD_7}} Discuss what it means for a limit to equal {{MATH_8}}. {{CMD_9}} Define a vertical asymptote. {{CMD_10}} Find horizontal asymptotes using limits. {{CMD_11}} Produce a function with given asymptotic behavior. {{CMD_12}} Recognize that a curve can cross a horizontal asymptote. {{CMD_13}} Understand the relationship between limits and vertical asymptotes. {{CMD_14}} Calculate the limit as {{MATH_15}} approaches {{MATH_16}} of common functions algebraically. {{CMD_17}} Find the limit as {{MATH_18}} approaches {{MATH_19}} from a graph. {{CMD_20}} Define a horizontal asymptote. {{COMMENT_21}} {{COMMENT_22}} {{COMMENT_23}} {{COMMENT_24}} {{CMD_25}} Compute limits at infinity of famous functions. {{CMD_26}} Find vertical asymptotes of famous functions. {{CMD_27}} Identify horizontal asymptotes by looking at a graph. {{CMD_28}} Identify vertical asymptotes by looking at a graph. {{COMMENT_29}} {{CMD_30}} {{CMD_31}}