`Lim_(x->oo)(1+4x^2)/(1-x^2)`

Compute the following limits. lim_(x to oo)(1+4x^(2))/(1-x^(2))

Lim_(x->oo) (2x - 1)/(x + 2)

lim_(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

lim_(x rarr oo)(x^(2))/(1+x^(2))

Statement 1: lim_(xto oo)(1/(x^(2))+2/(x^(2))+3/(x^(2))+…………..+x/(x^(2)))=lim_(xto oo)1/(x^(2))+………….+lim_(xto oo)x/(x^(2))=0 Statement 2: lim_(xtoa)(f_(1)(x)+f_(2)(x)+………..+f_(n)(x))=lim_(xtoa)f_(1)(x)+………….+lim_(xtoa)f_(n)(x) provided each limit exists individually.

Statement 1: lim_(xto oo)(1/(x^(2))+2/(x^(2))+3/(x^(2))+…………..+x/(x^(2)))=lim_(xto oo)1/(x^(2))+………….+lim_(xto oo)x/(x^(2))=0 Statement 2: lim_(xtoa)(f_(1)(x)+f_(2)(x)+………..+f_(n)(x))=lim_(xtoa)f_(1)(x)+………….+lim_(xtoa)f_(n)(x) provided each limit exists individually.

lim_(x rarr oo)(1)/(x^(2))

lim_(x rarr oo)(1)/(x^(2))

"lim_(x rarr oo)(1)/(x^(2))

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))