Grigori S. answered • 05/09/13
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Use Lopital's rule. Derivative for the numertaor is 4ex +2e x. For x→0 it gives us 6. The deriavtive for the denominator is 1. Thus , limes = 6.
Grigori S.
L'Hopital's rule says that in order to calculate limit of the function
f(x)=4ex +2ex -2 divided by g(x) = x we can use their derivatives
because lim x?0 f(x) = 0 = lim x?0 g(x)
We have f'(x) = 4ex +2e x and g"(x) = 1 with lim x?0 (4ex +2e x) = 4+2=6
Thus, lim x?0 f(x)/g(x) = lim x?0 f'(x)/g'(x) = 6/1 = 6
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05/13/13
Aqib Z.
sir plz solve it.......... step by step
05/13/13