Limit Calculation

lim X^(1/x) X->∞

Limit

lim (x+1)^(1/X) X->0

Limit Calculation

lim (x-1)*ln(x) x->1

Finding the limit of a function using L'hopital rule

Find lim (ln x)^3/(x) as x--> infinity

Multivariable Calculus : Volume of a Solid of Revolution

Find the volume of the given solid: The solid lies under the hyperboloid z = xy and above the triangle in the xy-plane with vertices (1, 2), (1, 4), and (5, 2)

Multivariable Calculus : Double Integral - Polar Coordinates

Find the indicated area by double integration in polar coordinates: The area inside both the circles r = 1 and r = 2 sin u

Multivariable Calculus : Double Integral - Polar Coordinates

(  ^n_r means that n is on the top of the  and r is on the bottom) Evaluate the given integral by first converting to polar coordinates:  ^1_0  ^(square root of 1 - x^2)_0 (1/(square root of 4 - x^2 - y^2)) dy dx : is the integral symbol

Multivariable Calculus : Double Integral - Polar Coordinates

(  ^n_r means that n is on the top of the  and r is on the bottom) Evaluate the given integral by first converting to polar coordinates:  ^1_0  ^(square root of 1 - y^2)_0 sin (x^2 + y^2) dx dy : is the integral symbol

Multivariable Calculus : Volume of Solid of Revolution

Find the volume of the solid that is bounded above and below by the given surfaces z = z_1(x, y) and z = z_2(x, y) and lies above the plane region R bounded by the given curve r = g(u): z = 0, z = 3 + x + y; r = 2 sin u

Multivariable Calculus : Double Integral - Polar Coordinates

Solve by double integration in polar coordinates: Find the volume bounded by the paraboloids z = x^2 + y^2 and z = 4 - 3x^2 - 3y^2