" In "lim_(x rarr1)3x^(2)+4x+5

Evaluate: lim_(x rarr1)3x^(2)+4x+5

Evaluate lim_(x rarr oo) (3x^(2)+4x+5)/(4x^(2)+7) .

lim_ (x rarr1) (x-3) / (x ^ (2) + 2x-4) = (lim_ (x rarr1) (x-3)) / (lim_ (x rarr1) (x ^ (2) + 2x -4))

COnsider the following statements and identify the correct options ( i ) lim_(x rarr4)((2x)/(x-4)-(8)/(x-4))=lim_(x rarr4)(2x)/(x-4)-lim_(x rarr4)(8)/(x-4) (ii) lim_(x rarr1)(x^(2)+6x-7)/(x^(2)+5x-6)=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

Consider following statements and identify correct options (i) lim_(x rarr4)((2x)/(x-2)-(8)/(x-4))=lim_(x rarr4)((2x)/(x-4))-lim_(x rarr4)((8)/(x-4)) (ii) lim_(x rarr1)((x^(2)+6x-7)/(x^(2)+5x-6))=(lim_(x rarr1)(x^(2)+6x-7))/(lim_(x rarr1)(x^(2)+5x-6))

Evaluate the following limits: (i) lim_(x rarr1)(x^(2)+3x+2)/(x^(2)+1)

lim_(x rarr1)(x^(3)-x^(2)log x+log x-1)/(x^(2)-1) =

lim_(x rarr1)[x^(3)-x^(2)+1]lim_(x rarr1)[x^(3)-x^(2)+1] (iii) quad lim_(x rarr3)[x(x+1)]lim_(x rarr1)[1+x+x^(2)+....+x^(10)]

The value of lim_(x rarr1)(x^(7)-2x^(5)+1)/(x^(3)-3x^(2)+2)=

Find the limits (i) (lim)_(x rarr1)[(x^(2)+1)/(x+100)] (ii) (lim)_(x rarr2)[(x^(3)-4x^(2)+4x)/(x^(2)-4)]