Question

Lim (9-x)/(3-√x), x ->9. Correct answer is 6

Answer 1

lim ((3- sqrt(x))*(3+ sqrt(x)))/(3- sqrt(x))
=>lim (3- sqrt(x))
plugiin' in the value of x
we get 3+sqrt(9)
=>3+3
=>6 answer @Gloria63 where sqrt is equal to square root

Answer 2

\(\displaystyle \lim_{x\rightarrow 9}~\frac{9-x}{3-\sqrt{x}}\)

using LHS

\(\displaystyle \lim_{x\rightarrow 9}~\frac{1}{\frac{1}{2\sqrt{x}}}\)

\(\displaystyle \lim_{x\rightarrow 9}~2\sqrt{x}\)

Answer 3

i cancelled negatives if anything

Answer 4

should suffice:)

Answer 5

Tyvm to both of you. First answer is really easy

Answer 6

LHS goes quite handy, but if you prefer rationalizing then y not:)