" (ii) "lim_(x rarr(5)/(2))[x]

Find:(lim)_(x rarr(5)/(2))[x]

Find :(lim)_(x rarr-5/2)[x]

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 rarr0)(sin 5 x)/(x)

lim_(x rarr0)(2^(5x)-1)/(x)

lim_(x rarr0)(1+2x)^(5/x)

Evaluate the following limit: lim_(x rarr -5)(2x^2+9x-5)/(x+5)

Evaluate the following limit: (lim)_(x rarr5)(2x^(2)+9x-5)/(x+5)

Evaluate the following limit : lim_(x rarr 5)(x^2-9x+20)/ (x^2-6x+5) .