[SOLVED] Use the information to evaluate the limits. /

> Find /

> (a) Find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results. f(x) = x3 ,

> Use a graphing utility to graph the function and estimate the limit. Use a table to reinforce your conclusion. Then find the limit by analytic methods.

> Find the limit of the trigonometric function.

> (a) Find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results. f(x) = x2 +

> Find the limit of the trigonometric function.

> (a) Find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results. f(x) = x2 +

> Find the limit.

> Find the derivative of the function by the limit process. h(s) = -2√s

> Find the limit.

> Write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.

> Find the derivative of the function by the limit process. f(x) = √x + 4

> Write a simpler function that agrees with the given function at all but one point. Then find the limit of the function. Use a graphing utility to confirm your result.

> Use the information to evaluate the limits. a. / b. / c. / d. /

> Find the limit of the trigonometric function.

> Find the derivative of the function by the limit process. f(x) = 1/x2

> Find the limit of the trigonometric function.

> Find the limits. f(x) = 2x2 − 3x + 1, g(x) =∛x + 6 a. / b. / c. /

> Find the limits. a. / b. / c. /

> Find the limits. f(x) = x + 7, g(x) = x2 a. / b. / c. /

> Find the limits. f(x) = 5 − x, g(x) = x3 a. / b. / c. /

> Find the derivative of the function by the limit process. f(x) = 1 / x − 1

> Find the limit.

> Find the derivative of the function by the limit process. g(t) = t3 + 4t

> Estimate the slope of the graph at the points (x1, y1) and (x2, y2).

> Find the limit.

> List the two special trigonometric limits.

> In your own words, explain the Squeeze Theorem.

> Find the derivative of the function by the limit process. f(x) = x3 − 12x

> What is meant by an indeterminate form?

> Describe how to find the limit of a polynomial function p(x) as x approaches c.

> A right circular cone has base of radius 1 and height 3. A cube is inscribed in the cone so that one face of the cube is contained in the base of the cone. What is the side-length of the cube?

> Inscribe a rectangle of base b and height h in a circle of radius one, and inscribe an isosceles triangle in a region of the circle cut off by one base of the rectangle (with that side as the base of the triangle). For what value of h do the rectangle an

> Given that prove that there exists an open interval (a, b) containing 0 such that (3x + 1)(3x â 1)x2 + 0.01 > 0 for all x â  0 in (a, b). / exists an open interval (a, b) containing c such that g(x) > 0 for all x

> Prove that is equivalent to

> Consider the line f(x) = mx + b, where m ≠ 0. Use the ε-δ definition of limit to prove that / f(x) = mc + b.

> Prove that if the limit of f(x) as x approaches c exists, then the limit must be unique. [Hint: Let / f(x) = L1 and / f(x) = L2 and prove that L1 = L2.]

> Use a graphing utility to evaluate for several values of n. What do you notice?

Question: Use the information to evaluate the limits. /