188 Answered Questions for the topic limits of a function

Limits Of A Function Calculus Limits Derivative

09/20/21

Trigonometric Derivative as a Difference Quotient
I understand that the 2x might be treated as h. However, I don't know how to deal with cotangent.Limit (as h -> 0) of [8 * cot3(2x + pi/3) - 8 * cot3(pi/3)]/h
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Limits Of A Function Math Precalculus

09/08/21

mathematics function limits
a) lim(x,y) → (1,1) lim 2x3+2y / y2x+1 b) lim(x,y) →(1,0) x2y2-y2 / x-1 c) lim(x,y) → (0,0) 3xy-y2 / x2+y2
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Limits Of A Function Math Mathematics

09/08/21

mathematics limits
lim(x,y) → (1,1) lim 2x3+2y / y2x+1 evalute the limits.
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Limits Of A Function Calculus

09/06/21

Limits of the function
The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.)(a)lim x→2 [f(x)... more
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Limits Of A Function Math Math Calculus

07/27/21

LIMITS, PLEASE HELP
show that lim→(0,0) (|x|^a|x|^b) ⁄ (|x|^c +|x|^d) this does not exist
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Limits Of A Function Math Calculus Precalculus

06/18/21

Calculus Homework Help
what is the instantaneous slope of y = 6/x at x = -2?
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Limits Of A Function Math Calculus Precalculus

06/18/21

Calculus Homework Help
true or false: the intermediate value theorem can be used to prove that the equation x2 - 5x + 6 = 0 has at least one solution on the interval [2,4]
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Limits Of A Function Math Calculus Precalculus

06/18/21

Calculus Homework Help
limx→0 sin(-3x)÷sin(-5x) = ?
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Limits Of A Function Math Calculus Precalculus

06/18/21

Calculus Homework Help
limx→-1 2÷x+1 =
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Limits Of A Function Math Calculus Precalculus

06/18/21

Calculus Homework Help
where is f(x) = x-5 ÷ x2-3x-10 discountinous?
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06/18/21

Limits, Derivative, Slope of Tangent and Equation of Tangent of a function
Consider the function f(x)= 1÷ x+3 Use the limit definition of the derivative to find the derivative of the function. Find the slope of the tangent to f(x) at x=0 Find the equation of the tangent... more
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Limits Of A Function Calculus

06/18/21

Evaluate Limits of a Function
Find the limits lim(x)→∞ and lim(x)→−∞ e3x+1÷8−4e3x algebraically.
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Limits Of A Function Calculus

06/18/21

Evaluate limits of a function
Evaluate limx→3 x2−x−6/x2(x−3)2If it does not exist because of infinite behavior, describe the infinite behavior using limit notation. 
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Limits Of A Function Precalculus Word Problem Limits

06/11/21

Consider the function f(x) = -2x3 + x2 – 3x + 4 on the interval [-2,4] and that f(c) = 10
Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem
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Limits Of A Function Calculus

06/09/21

Proving limits using the formal definition of limits
Prove the lim x->2 (3x-2) = 4 using the epsilon-delta definition of Formal Definition of the Limit
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Limits Of A Function Calculus Epsilon Delta

05/29/21

How to prove limits using the formal definition(epsilon-delta)?
I was told to prove the limit of (10-2x)=16, as x=-3. Can you help me solve this?
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Limits Of A Function Limits Basic Calculus

05/11/21

Limits and Limits of a Function (Basic Calculus)
Please don't forget to provide a step-by-step and a clear solution, so I can study it well afterwards. Thank you!1.) Lim (x^2+2x+1) x-> 12.) Construct the table of values for number 1... more
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Limits Of A Function Limits Basic Calculus Infinite Limits

05/01/21

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
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Limits Of A Function Limits Basic Calculus Infinite Limits

04/30/21

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
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Limits Of A Function Calculus Precalculus Derivative

04/29/21

Find the instantaneous rate of change using the definition of derivative for f(x)=5x^2+4x at x=3
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Limits Of A Function Calculus Precalculus Pre Calculus

04/29/21

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
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Limits Of A Function Math Calculus Precalculus

04/29/21

Find the derivative using the definition of the function f(x) = 7x + 10. Using limits.

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Limits Of A Function Math Calculus Precalculus

04/29/21

Find the instantaneous rate of change, using the definition, of f(x)=5x^2+4x at x=3
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Limits Of A Function Calculus Derivative

04/26/21

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
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Limits Of A Function Calculus

04/09/21

How to use Squeez theorem on Lim(x approaches 0) (2x^2 cos 1/x)???
Lim(x approaches 0) (2x^2 cos 1/x)
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