Mathematics

Problem

The cooling rate of a molten metal sample is modeled by

R(T)=\dfrac{10}{(T-100)^{3}}

, where

R

is measured in degrees Celsius per second and

T

is the temperature in degrees Celsius for

T\neq100

. Which of the following correctly describes the behavior of

R(T)

near

T=100^{\circ}\text{C}

? a)

R(T)\to+\infty

T\to100^{-}

and

R(T)\to-\infty

T\to100^{+}

. b)

R(T)\to-\infty

T\to100^{-}

and

R(T)\to+\infty

T\to100^{+}

. c)

R(T)\to+\infty

T\to100^{-}

and

R(T)\to+\infty

T\to100^{+}

. d)

R(T)\to0

from both sides as

T\to100