Question

Find the limit of the function algebraically.

limit as x approaches negative four of quantity x squared minus sixteen divided by quantity x plus four

Answer 1

@zepdrix

Answer 2

@Directrix please help

Answer 3

(x^2-16) / (x+4) = (x+4)(x-4) / (x+4)

Answer 4

you are just factoring so far so we can use -4 as the x value to solve for the limit

Answer 5

if insert -4 into the equation before factoring we get a denominator of 0 which we cant use

Answer 6

so factor the top and cancel ie... for (x+4)(x-4) /(x+4) you can cancel the (x+4)'s can you are left with (x-4)

Answer 7

inserting the limit of -4 into the equation you have f(-4) = (-4-4) =-8

Answer 8

so the limit of f(x) as x approaches -4 = -8