Question

Find a vector function r(t) = <x(t),y(t),z(t)>

where r(t) is continuous everywhere except t=2

lim(t=2)r(t)= <1,0,0>

Answer 1

$y(t)=z(t)=t-2$

$x(t)=1+e^{-\frac{1}{|t-2|}}$

$r(t)=<1+e^{-\frac{1}{|t-2|}},t-2,t-2>$