Answer Happy

Question 18 Use L'Hopital's Rule to evaluate the limit. lim cos(5x) 1 TO L'Hopital's Rule may be used on this limit because direct substitution yields the indeterminate form Use inf for the infinity symbol as needed After using CH, the limit can be rewritten as lim?sin(5x) 0 ? The coefficient in the numerator alter using L'H is now and the expression in the denominator is now Using direct substitution once again, still yields the indeterminate form Use it for the infinity symbol as needed Thus, using L'H one more time, the limit can be rewritten as lim ?cos(5x) 2 The coefficient in the numerator after using L'H is now and the expression in the denominator is now Using direct substitution one final time, the exact value of the limit is equal to -