COnsider the following statements and identify the correct options (i) `lim_(x->4) ((2x)/(x-4)-8/(x-4))=lim_(x->4) (2x)/(x-4) -lim_(x->4) 8/(x-4)` (ii) `lim_(x->1)(x^2+6x-7)/(x^2+5x-6)=(lim_(x->1)(x^2+6x-7))/(lim_(x->1)(x^2+5x-6))`

lim_(x->4)(x-2)/(x-8)

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))

Determine whether the statement is true or false lim_(x rarr4)((2x)/(x-4)-(8)/(x-4))=lim_(x rarr4)(2x)/(x-4)-lim_(x rarr4)(8)/(x-4)

lim_(x rarr4)((x^(3//2)-8)/(x-4)) =

lim_(x rarr 4) (x^(3/2)-8)/(x-4) =

lim_(xrarroo) (2x)/(1+4x)

lim_(xrarroo) (2x)/(1+4x)

lim_(x to 1)(x^(2)-6x+5)/(x^(2)+3x-4)=

Evaluate : lim_(x->2)(x^2-5x+6)/(x^2-4)