cara menghitung nilai limit x_-5 f(x+2)-f(-3)/x^2+3x-10

limit bentuk 0/0

f(x) = x²  + 3x - 4
f(x+2) = (x+2)² + 3(x+2) -4 = x²+4x+4 +3x+6 - 4
f(x+2) = x²+ 7x + 6

f(-3) = (-3)² +3(-3) - 4 = 9 -9 - 4
f(-3) = - 4

lim (x -> -5) f(x+2) - f(3) / (x²+3x-10)
lim(x->-5)  (x² +7x + 6) - (-4) / (x²+3x-10)
lim(x-> -5)  (x² +7x + 10) / (x²+3x-10)
lim(x-> -5) (x + 5)(x+2)/ (x+5)(x-2)
lim(x->-5) (x+2)/(x-2)
x = -5
limit = (-5 +2)/(-5-2) = -3/-7 = 3/7