givin f(x)= x^4 +x^3-x^2-10, evaluate the following limits:
a) lim x->1 (f(x)-10)/(x-2)
b) lim x->1 f(x)-8)/(x-1)
a) lim x->1 (f(x)-10)/(x-2)
b) lim x->1 f(x)-8)/(x-1)
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f(1) = 1 +1 -1 -10 = 11
f(1) - 1 = 11 - 1 = 10
x - 2 = 1 - 2 = -1
lim x->1 (f(x)-10)/(x-2) = 10/-1 = -10
b) lim x->1 f(x)-8)/(x-1) undefined since x - 1 = 1-1 = 0 cant devide by 0
f(1) - 1 = 11 - 1 = 10
x - 2 = 1 - 2 = -1
lim x->1 (f(x)-10)/(x-2) = 10/-1 = -10
b) lim x->1 f(x)-8)/(x-1) undefined since x - 1 = 1-1 = 0 cant devide by 0