[" 12."lim_(h rarr0)(f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1))," given that "f'(2)=6" and "],[f'(1)=4" ,"]

lim_(h rarr 0) (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f^(')(2) = 6 , and f^(')(1) =4

lim_(h to 0) (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f'(2) = 6 and f'(1) = 4,

underset(h to 0)lim (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1))"given that "f'(2)=6and f'(1)=4

lim_(h to 0) (f(2h+2+h^(2)))/(f(h-h^(2)+1)-f(1))"given that "f'(2)=6and f'(1)=4

lim_(h rarr0)(f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f'(2)=6 and f'(1)=4 does not exist (a) is equal to -(3)/(2) (b) is equal to (3)/(2)(c) is equal to 3

lim_(h rarr0)h sin(1/h)

lim_(h rarr0)(e^((x+h)^(2))-e^(x^(2)))/(h)

lim_(h rarr0)(sin^(2)(x+h)-sin^(2)x)/(h)