Please assist with answering true or false regarding limits, L'Hospital's rule and step functions.

1. |(18%) True and False . 2x3 5 . 61:2 a. 11m =11m2 2 H9 3:3 27 H9 31: b J" sin(l9)d6 = 0 c limo3r = e" X)00 x d. The L'Hospital's rule can be applied to find the limit of a function as long as you can express it into a ratio of two functions. e. The total areas of step function, f(k)=k feet, for k ranging from 1 to 1000 is 500,500 ft