Consider the following table. 2.999 3.0001 2.9 1.789 f(x) g(x) h(x) 2.99 1.889 2.9 11.89 1.998 2.9 34.65 3 undefined 0 3. 001 1.

Math

Limits and Continuity Solutions

Section 2.2 Homework Assignment (Click Here) Score: 15/18 16/18 answered Question 18 < > Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 2x2 + 3x + 5 at x = 2 = Question Help: D Video D Post to forum Calculator Submit Question

Math

Limits and Continuity Solutions

7. [-12 Points] DETAILS LARCALCET7 4.2.019. MY NOTES ASK YOUR TEACHER Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 2 sin , [0, 27] Yes, Rolle's Theorem can be applied. O No, because f is not continuous on the closed interval [a, b]. No, because fis not differentiable in the open interval (a, b). O No, because f(a) f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(C) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) C=

Math

Limits and Continuity Solutions

A student is trying to find a Limit by evaluating a function f(x) with a given numeric value for x. The student should be aware that (select the TRUE statement from the five options below] [0/0] is Indeterminate, meaning that the student must consider finding the Limit with other methods (such as the graph, tables, algebra manipulations, trig identities, etc.) For any non-zero number N. [N/O] is Indeterminate, meaning that the student must consider finding the Limit with other methods (such as the graph, tables, algebra manipulations, trig identities, etc.) o Undefined / Undefined) is just a DNE situation, because "undefined" can not be evaluated O [Infinity *O] is just zero (O), because anything times zero is zero O [Infinity - Infinity is just zero (0), because anything subtracted from itself is zero