Question

evaluate the limit lim X->9 (x-9)/(x^2-81)

Answer 1

hint : x^2-81 = x^2-9^2

Answer 2

hint2 : a^2-b^2 = (a+b)(a-b)

Answer 3

yea i got that far

Answer 4

good, apply them

Answer 5

i did and i canceled x-9 from the top and bottom and plugged 9+9 but apparently 18 isnt the answer what am i doing wrong

Answer 6

u did a simple mistake, let me show u :)

Answer 7

\(\large\lim_{ x->9} \frac{(x-9)}{(x^2-81)}\)

Answer 8

\(\large\lim_{ x->9} \frac{(x-9)}{(x+9)(x-9)}\)

Answer 9

\(\large\lim_{ x->9} \frac{\cancel{(x-9)}}{(x+9)\cancel{(x-9)}}\)

Answer 10

\(\large\lim_{ x->9} \frac{1}{(x+9)}\)

Answer 11

now sub, wat do u get ?

Answer 12

oh i get it thanks so much i was about to go insane

Answer 13

np you're wlcme :)