Homework 1 – Introduction and Review For problems 1‐14, fill in the blanks.1) 0lim _____xxe 2) lim 3 _____xx 3) lim 3 _____xx 4) lim 3 _____xx 5) 0lim ln _____xx 6) limln _____xx 7) lim ln _____xx 8) 402 __________tdt 9) 42____________xedx 10) sinh(5 ) ___________xdx 11) 10cosh ____________xdx 12) 2sinh ____________xdx 13) ln 5 ; ' ___________yxy 14) 5 4 ; ' __________xyy 15) Graph the following functions on the same set of axes: 242xxxxyeyyy 16) Graph the following functions on the same set of axes: sinhcoshyxyx 17) If limxfxgx, we say that fx is of higher order than gx or fx gx. Arrange the following expressions in the spaces below: 2,2,ln, ,xxexxx _____ _____ ______ ______ ______ 18) True (T) or False (F)? a) _____ ln ln ln( )xyxy b) _____ ln ln lnxyxy c) _____ 25ln 5 2lnxexxx d) _____ xy x yeee e) _____ 22xxyyeee f) _____ 23sinln 2ln ln sin 3ln tantanxxxxxx xex g) _____ 2ln 2sin sin 22xxx x xee ee x h) _____ 22ln 2ln 2 ln 2ln2xxxx i) _____ 4sinh(ln3)3 j) _____ 5cosh
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