underset x rarr oo Lt((a^((1)/(x))+b^((1)/(x))+c^((1)/(x)))/(3))^(x)=

lim_(x rarr oo)((a^((1)/(x))+b^((1)/(x))+c^((1)/(x)))/(3))^(x)

Lt_(x to oo)((2^((1)/(x))+27^((1)/(x))+8^((1)/(x)))/(3))^(x)=

Lt_(x to oo) ((a^((1)/(x))+b^((1)/(x))+c^((1)/(x)))/(3))^(x) when a,b,c are non zero positive real numbers)=

Evaluate: underset(x rarr oo)(lim) (x^((1)/(2)) -2 tan^(-1) ((1)/(x)))/(((1)/(x)))

underset(x to oo )"Lt" [(a^(1//x)+b^(1//x)+c^(1//x))/(3)]^(x), where a,b,c are real and nonzero=

lim_ (x rarr oo) ((2 ^ ((1) / (x)) + 27 ^ ((1) / (x)) + 8 ^ ((1) / (x))) / (3)) ^ (x)

underset(x to oo)"Lt" ((x)/(1+x))^(x)=

underset(x to 0)"Lt" ((a^(x)+b^(x))/(2))^(1//x)=

lim_ (x rarr oo x rarr oo) ((1 ^ ((1) / (x)) + 2 ^ ((1) / (x)) + 3 ^ ((1) / (x)) + ... + n ^ ((1) / (x))) / (n)) ^ (nx) is

Find underset( x rarr oo )("lim") ((1-2x)/((1+ 8x^(3))^(1//3))+2^(-x^(7)))