Now we know that {{MATH_14}} is {{CMD_15}}{{CMD_16}}increasing{{CMD_17}}{{CMD_18}}decreasing{{CMD_19}}{{CMD_20}} so since {{MATH_21}} {{CMD_22}} {{CMD_23}}{{MATH_24}}.{{CMD_25}} {{CMD_26}}{{MATH_27}}.{{CMD_28}} {{CMD_29}} We use these bounds to find that {{MATH_30}} Thus our estimate from the linear approximation of {{MATH_31}} can be off by at most {{MATH_32}}.