Consider the function f(a) = = 2 (a) Fill in the following table of values for f(I). Express results using at least three decimal places, where necessary. 2.9 2.99 2.999 2.9999 3.0001 3.001 3.01 3.1 f(x) = (b) Based on your table of values, what would you expect the limit of f(x) as a approaches 3 to be? Express your answer to the nearest whole number. lim Iif & 2 Graph the function and evaluate the following. (a) lim h(x) = I-10+ (b) lim h(x) = I-+0 (c) lim h(x) = (d) lim h(x) = I +2 (e) lim h(x) = 1 +2+ (f) lim h(x) = Note: Input DNE, infinity, and -infinity for does not exist, oo, and -oo, respectively.Let F be the function whose graph is shown below. Evaluate each of the following. Note: Input DNE, infinity, and -infinity for does not exist, oo, and -co, respectively. 1 . lim F(x)= 2. lim F(x)= 3. lim F(x)= I ) F(-1)= 5. lim F(x)= 408 6. lim F(x)= -3 I +1+ 7. lim F(x)= 8. lim F(x)= I *3 9 F(3)= The graph of y = F(x)Let 3, f(z) = x = 5, 10 + I, x > 5. Graph the function, and evaluate the following. (a) lim f(x) = (b) lim f(x) = I 15+ (c) f(5) = Note: Input DNE, infinity, and -infinity for does not exist, co, and -co, respectively.Suppose f(x) = -4x2 + 2. Evaluate the following limit. f(-3 + h) - f(-3) lim h + h Note: Input DNE, infinity, -infinity for does not exist, oo, and -oo, respectively.