Question

lim 3* – 2* i s equal to x+04* – 3x (a) 1 (b)-1 (c)0 (d) none of these

JEE/Engineering Exams

Maths

Solution

117

4.0 (1 ratings)

( =x_{rightarrow 0} frac{3^{n}-1+1-2^{n}}{4^{x}-1+1-3^{n}} ) ( lim _{x rightarrow infty} frac{3^{x}-1-left(2^{x}-1right) / x}{4^{x}-1-left(3^{x}-1right) / x} ) ( =frac{ln 3 cdot ln 2}{ln 4-ln 3} ) ( =frac{ln left(frac{3}{2}right)}{ln left(frac{4}{3}right)} Rightarrow(d) operatorname{sen}left(frac{8}{2}right)+operatorname{hes} e )