2.7.49 Function Properties

Condition: set the function \ (y = f (x) \) and two values of the argument \ (x_ {1} \) and \ (x_ {2} \). It is required to establish whether this function is continuous or expanded for each of the data of the argument: in the case of a break, find the limits at the gap point on the right and left and make a schematic drawing of the function near the gap point. \ [f (x) = e^{\ frac {1} {1-x}}, \ quad X_ {1} = 1, \ quad X_ {2} = 5 \ text {. } \]