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Ques1) Let g(x) = {log(1+x)} -1 - x-1 , where x>0, then (a) 1 Ques2) Show that the interval in which x3 increses more rapidly than 6x2+15x+5 is (5,infinity). Ques3) If f(x)=x/sinx and g(x) = x/tanx where 0 Ques4) If tan(pie cos @) = cot (pie sin@) where 0 <@sin@) ) x , then find the interval in which f(X) is inc and dec. Ques5) Using L.MV.T theorm, prove that x - (x3/6) , sinx , x where 0 < x ≤ pie/2
Ques2) Show that the interval in which x3 increses more rapidly than 6x2+15x+5 is (5,infinity).
Ques3) If f(x)=x/sinx and g(x) = x/tanx where 0 Ques4) If tan(pie cos @) = cot (pie sin@) where 0 <@sin@) ) x , then find the interval in which f(X) is inc and dec. Ques5) Using L.MV.T theorm, prove that x - (x3/6) , sinx , x where 0 < x ≤ pie/2
Ques4) If tan(pie cos @) = cot (pie sin@) where 0 <@sin@) ) x , then find the interval in which f(X) is inc and dec.
Ques5) Using L.MV.T theorm, prove that x - (x3/6) , sinx , x where 0 < x ≤ pie/2
Hi, The answer to Q2) is as follows:
Please post seperate questions in seperate posts,
Regards,
Rajat
Askiitians Expert
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