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Tuesday, June 30, 2020

Are You a Winner at Mathematics

Limit of the Sequence a_n = (1 + k/n)^n

Limit of Sequence a_n = 9^(1/n)

The Sequence a_n = sin(n)/n Converges or Diverges Two Solutions with Proof

The Sequence a_n = sin(n)/n Converges or Diverges Two Solutions with Proof

Simplify the Factorials (n + 2)!/n!

Does the Sequence Converge or Diverge a_n = (9 + (-1)^n)/n

Does the Sequence Converge or Diverge? a_n = (.1)^n - 1

Sequence cos(4n)/5^n Convergence Proof with the Squeeze Theorem

How to Find the Sum of a Telescoping Series

Ratio Test for Infinite Series Example with SUM(n^5/3^n)

How to Use the Ratio Test for Infinite Series Example with Factorials

Limit Comparison Test for Infinite Series Example with SUM(3/(8^n + 1))

Does the Series Converge or Diverge? SUM(cos(npi)/n)

Infinite Series: Converges or Diverges? SUM((-1)^n/e^n) TWO Solutions

Alternating Series Test Example SUM( (-1)^(n + 1)/(n + 7))

Alternating Series Test Example SUM( (-1)^n(8n - 1)/(3n + 1))

Find the Center of a Power Series

Find the Center of the Power Series Example

Infinite Series SUM(arctan(n))

Find the Sum of the Geometric Series SUM(3(9/10)^n)

Does the Geometric Series Converge or Diverge?

Determine whether the Infinite Geometric Series Converges or Diverges an...

Sum of Infinite Series with Geometric Series Formula

Repeating Decimal Infinite Sum using Calculus Geometric Series

Find the Values of x for Which the Series Converges SUM((8x)^n)

Infinite Series SUM((sin(3)^n)

Infinite Series SUM(n/ln(n)) Does it Converge or Diverge?

Friday, June 12, 2020

This is How You Can be Consistent with Your Math

Consistency in Math

Sum of the Series SUM ((-1/6)^n)

Improper Integral using Tabular Integration

Parametric Equations for a Hyperbola x = h + asec(theta) and y = k + bta...

Sketch the Parametric Equations x = e^t and y = e^(3t) + 8 and Convert t...

Convert the Polar Equation r = cot(theta)csc(theta) to Rectangular

Convert the Polar Equation r = 5sin(theta) to Rectangular and Graph

Convert the Rectangular Equation to Polar x^2 + y^2 = 4 and Graph

Plot the Polar Coordinates (5, pi/2) and Convert to Rectangular Coordinates

Plot the Polar Coordinate and Write in Rectangular Coordinates (4, 5pi/4)

Find the open t-intervals where the parametric Equations are Concave up ...

Equations of Tangent Lines to x = 2 - 3cos(theta) and y = 3 + 2sin(theta)

Slope, Concavity of Parametric Equations x = sqrt(t), y = sqrt(t - 1)

Find the First Derivative, Second Derivative, Slope, and Concavity given...

Determine the Open t-intervals where the Graph is Concave up or Down: x ...

Improper Integral of 1/x^2 from 2 to infinity

Improper Integral Example with Infinite Discontinuity at an Endpoint

Determine if the Integral is Improper

Is the Integral Improper?

Improper Integral cos(pix) from 21 to infinity

Improper Integral of e^(9x) from negative infinity to zero

Improper Integral Example with 1/sqrt(x)

Improper Integral with Infinite Discontinuity

Improper Integral of lnx/x from 1 to infinity

Limit of (n - 4)!/n!

Limit of Sequence ln(n^7)/(4n)

Limit of fifthroot(n)/(fifthroot(n) + 7)

Limit of (-1)^n(n/(n + 1))

Limit of 4/(n + 2)

Introduction to L'Hopital's Rule

Limit of cos(13x)/13x as x approaches infinity

Limit of x^3/e^(x/3) as x approaches infinity

Limit of arctan(x)/sin(7x) using L'Hopitals Rule

Limit using L'Hopital's Rule of (9x^3 - 8x + 8)/(5x^3 + 8)

Limit of x/arctan(10x) using L'hopitals Rule

Limit of (sqrt(1 - x^2) - 1)/x using L'hopitals Rule

Limit of (x^2 - 9x - 10)/(x - 10) using L'Hopitals