lim_(x rarr-8^(+))(2x)/(x+8)

lim_(x rarr2^(-))(x)/([x])!=lim_(x rarr2^(+))(x)/([x])

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)

8. Prove that lim_(x rarr1^(+))((1)/(x-1))!=lim_(x rarr1^(-))((1)/(x-1))

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))

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))

lim_(x rarr 0) (x^(2)+8x)/(x)= _________.

Evaluate: lim_(x rarr0)(8^(x)-2^(x))/(x)

lim_(x rarr2)(x^(2)-2x)/(x^(3)-8)

lim_(x rarr a)(x^((5)/(8))-a^((5)/(8)))/(x^((1)/(3))-a^((1)/(3)))=

lim_(x rarr(-2))((1)/(x+2)-(12)/(x^(3)+8))