Please show work and explain.. Thank you!

2. (/10) Compute limp-0 f (3th) -f(3) h , where f is the function with domain and range R defined by the formula f (a) = 22. 3. Evaluate the following limits. 3x2 - 23 (a) (-/5) limx-to 5x34x-1 (b) (-15) limx -too 4- 23 +2 2 - x+ 1 7ac 4 - 20 (c) (-/5) lim.-top 24-25 +x2-x+1 724 -205 Here are some practice problems on limits as x goes to infinity! 4. (/5) Assume that f and g are continuous functions such that f (3) = 4 and g(3) = 2. Compute limx-+3(-2xf (x) + sing(x))