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$1$

$2$ POINTS

$......$

Show that :

$\underset{x0}{lim}\frac{x^2{e}^x+2^x-\frac{2^{x}si{n}^{-1}(x)}{x}+\frac{1}{co{t}^2(x)}-x^2-se{c}^2(-x)+\frac{si{n}^{-1}(x)}{x}}{x^{ln}+x^2{2}^x+co{s}^2(si{n}^{-1}(x))-(\underset{t0}{lim}\frac{ta{n}^{-1}(t)}{t})-{}^{lnx}}$

$,=\frac{6-ln2}{ln(64)}$

Hint: $\underset{s0}{lim}\frac{e^s-1}{s}=1()$

Written by S$.$T

$6/12/2024$