Use L'Hospital to determine the following limit (where t is regarded as a constant):

Question

lim (cos(wt)-cos(47t))/(2209-w^2)

x--›47

Answer 1

The variable x is not present in the function, so

therefore it is ENTIRELY a constant. ASSUMING

you typed w instead of x, the limit is in fact

indeterminant 0/0

L'Hopitals Rule says:

-tsin(tx)/ -2x

negatives cancel....

limit as x-->47:

t*sin(47t)/94