If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

Find Lim as attached. f(x) = x2 − 4x

The expression limħ→0 f(a+h)-f(x) gives the slope of the line tangent to a function at the point h (x, f (x)) . The equation of the line tangent to y = -4x3 + 2x at (3,-102) is

If -a2 + 6x – 7 < f(x) < 2x – 3 for all r, find lim f(x). Cite any relevant theorems used.

Explain why: limx→a−b f(x) = limx→a f(x − b).

If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find  lim x→3 f(x).

If /10 - 7x sf(x) s /10 -x for - 1sxs1, find lim f(x).

Determine limx→−2 6/x-2, if it exists

If lim 8+←1 f(x) = -3, there is

Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h f(x+h)-f(x) h Determine lim h→0 f'(x) =lim h→0 f'(3) . Simplify completely. f(x+h)-f(x) h Determine the slope of f at x = 3. f(x+h)-f(x) h . Simplify completely.