Using the graph of the rational function y fx given in the

Using the graph of the rational function y = f(x) given in the figure below, evaluate the limits. If you need to enter infinity or -infinity, type INFINITY or -INFINITY. (a) lim_x rightarrow infinity f(x) = help (limits) (b) lim_x rightarrow -infinity f(x) = help (limits) (c) lim_x rightarrow 4^+ f(x) = help (limits) (d) lim_x rightarrow 4^- f(x) = help (limits)

Solution

ANS: a) f (x) -> 5 (as the graph doesn\'t cross he line y = 5)

b) f (x)-> 5 (same as part a)

c) f (x) -> +infinity ( value of y tends to +infinity just to the right of 4)

d) f (x) ->+ infinity ( y tends to +infinity just left to x = 4 )