120 Answered Questions for the topic limits of a function
Infinite Limits and Infinity at Limits
1.) Lim x->4+ ( -(x-2)/(4-x) + (5x)/(2x+3) )2.) Lim x-> 3- ( (2x/x-3) - (x+8)/(5x+2) )3.) Lim x-> +∞ ( (8x^4-2x^3+x^2+7x-1) / (2x^4+2x^3-3x+11)4.) Lim x-> +∞ ( (7x^2+2x-10) /... more
Infinite Limits and Limits at Infinity
Exercise 4.2 (Number 1 and 2)1.)lim-> 4+ ( -(x-2) / (4-x) + (5x) / (2x+3) )2.) lim-> 3- ( (2x/x-3) - (x+8)/(5x+2) )*note: please include also a solution and a step-by-step explanation for... more
Find the instantaneous rate of change using the definition of derivative for f(x)=5x^2+4x at x=3
Use the graph below to find the limits or explain why the limits do not exist.
a) lim_x→2^- f(x)b) lim_x→2^+ f(x)c) lim_x→2 f(x)It will not let me put the graph but it is a graph showing only the first quadrant labeled 1-5 on both axes. One line has a slope of 1, passes... more
Find the derivative using the definition of the function f(x) = 7x + 10. Using limits.
Find the instantaneous rate of change, using the definition, of f(x)=5x^2+4x at x=3
Given f(x) = x^3 if x<1 and ax^2+bx +c if x ≥ 1 find the values of a, b, and c such that f''(1) exists
How to use Squeez theorem on Lim(x approaches 0) (2x^2 cos 1/x)???
Lim(x approaches 0) (2x^2 cos 1/x)
Find all real numbers k such that the limit exists
Find all real numbers k such that limit lim->3 1/x-1/k/3x-9 exists
The radius of a sphere is increasing at a rate of 5 mm/s, how fast is the surface area increasing when the diameter is 60 mm?
calculus evaluate the limit
Evaluate the following limit if it exists or show that it does not exist.lim h→0 ((√h + 9) − 3) /hh+9 is under the rootWe are not allowed to use L’hospital’s rule.
Is there a number a such that lim x→−2 (3x2 + ax + a + 3) / (x2 + x − 2) exists? If so, find the value of a and the value of the limit.We are not allowed to use L’hospital’s rule.
Find the Limit of a function
Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)lim x → ∞ (e−x + 4 cos(3x))
Is there a number a such that lim x→ −2 (3x2 + ax + a + 3) / (x2 + x − 2) exists? If so, find the value of a and the value of the limit.
Help Me Find the Limit
limx→2 -2x3 -4x2 +2x +4How do you find limits when given equations like this one?
Using L'Hopital's Rule, find the a) limit as x approaches 1 of (ln(2x-1))/(x-1), b) limit as x approaches 0 from the right of (1/(e^x-1) - 1/x).
The function S(t)=t^2e−0.1t gives the level of medication (in μg) in a patient's bloodstream t minutes after a dose is given. CONTINUED IN DESCRIPTION
Use the first and second derivative tests to to determine the local extrema and inflection points for this function...including where the function is increasing, decreasing, concave up, and... more
How can i prove this statement?
Statement: Let 𝑓:[𝑎, 𝑏] → [𝑐, 𝑑] for 𝑎, 𝑏, 𝑐, 𝑑 ∈ 𝑅 be continuous on (𝑎, 𝑏). Then for any point 𝑞 ∈ (𝑐, 𝑑) there exists a point 𝑝 ∈ (a, b) such that 𝑓(𝑝) = 𝑞.I know that I need to use intermediate... more
Use a differentiation forumla to evaluate limh→0 e1+h√1 + h − e / h
Use a differentiation forumla to evaluate lim -0 tan(x+h)−tanx/h
How do you use the Intermediate value theorem (IVT) to prove there is at least one solution to 2^x = 1/x
Is this a use of the Squeeze Theorem?
Two broadcasting signals signals and signal b have amplitudes that can be modeled by mathematical equations. we will attempt to show that signal a and signal b have the same amplitude at some point... more
What must "a" and "b" be for the function to be continuous on R?
Find the limit should it exist.
f(x) = 6 - x, if x < 4 4, if x = 4 x/4, if x > 4a) limit of f(x) as x approaches 2 from the positive sideb) limit of f(x) as x approaches 2c) limit of f(x) as x approaches... more
Determine if the limit statement is true or false.
The limit of f(x) = 6, as x approaches 15. The limit of g(x) = 15, as x approaches 15. Therefore the limit as x approaches 5 is f(x)/g(x)