How can I find this calculus answer?

Question

Consider the following limit.

 lim x→9 (9x + 9) 

Find the limit L.

L = 

(a) Find the largest 𝛿 > 0 such that |f(x) − L| < 0.01 whenever 0 < |x − c| < 𝛿.

 (Round your answer to five decimal places.)

𝛿 = 

(b) Find the largest 𝛿 > 0 such that |f(x) − L| < 0.005 whenever 0 < |x − c| < 𝛿.

 (Round your answer to five decimal places.)

𝛿 = 

Answer 1

(A)

|9x+9-90|<0.01

|9x-81|<0.01

9|X-9|<0.01

|x-9|<0.01/9

delta=0.01/9

(B)

delta=0.005/9