Hi,

Topic name: L'Hoptial rule

I need your assistance with these questions. Please solve each question in a thoughtful and tidy manner. Use the formulas attached for any reference to the question.

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Types of Indeterminate forms . There are seven types of indeterminate forms : 1. 0/0 00 / DO In0 = 3 O X Do 00 - 90 CSux = 1 NOWAW Oo If y = sin(u) - y'=u'cos(u) Sinx 8 - If y = cos(u) - y'=-u'sin(u) secx = cost If y = tan(u) - y'=u'sec?(u) tanx = Sinx If y = cot(u) - y'=-u'csc2(u) GJX If y = sec(u) - y'=u'sec(u)tan(u) Colx = Cox Sinx If y = csc(u) - y'=-u'csc(u)cot(u)g) limx-o tan(x)In(x) h) lim _n sec(3x) cos(5x)i) limx-o sinx i) limx-o (ex + x ) i