Let {{MATH_10}}. The domain of {{MATH_11}} is {{MATH_12}}. {{CMD_13}} {{CMD_14}} {{CMD_15}}{{MATH_16}} is not everywhere continuous on {{MATH_17}}{{CMD_18}} {{CMD_19}}{{MATH_20}} is continuous on {{MATH_21}} for some {{MATH_22}}{{CMD_23}} {{CMD_24}}There is some {{MATH_25}} such that {{MATH_26}} is not continuous on {{MATH_27}}.{{CMD_28}} {{CMD_29}}{{MATH_30}} is nowhere continuous on {{MATH_31}}{{CMD_32}} {{CMD_33}}{{MATH_34}} is continuous on {{MATH_35}} for every {{MATH_36}}.{{CMD_37}} {{CMD_38}}{{MATH_39}} is continuous on {{MATH_40}}{{CMD_41}} {{CMD_42}} {{CMD_43}} The preceding statements regarding {{MATH_44}} are true because {{CMD_45}} {{CMD_46}}{{MATH_47}} is the product of two functions whose intervals of continuity have union equal to {{MATH_48}}.{{CMD_49}} {{CMD_50}}the natural logarithm is not continuous.{{CMD_51}} {{CMD_52}}the limit {{MATH_53}} exists and is equal to {{MATH_54}}.{{CMD_55}} {{CMD_56}}{{MATH_57}} is the product of two functions which are continuous on {{MATH_58}}.{{CMD_59}} {{CMD_60}} {{CMD_61}} Next, we shall classify the extrema of {{MATH_62}} and determine whether it has any global extrema.