Final answer:
To use spherical coordinates to find the limit, convert rectangular coordinates into spherical ones using the radial distance, polar angle, and azimuthal angle. This method simplifies solving limits with spherical symmetry.
Step-by-step explanation:
To find the limit using spherical coordinates, one must understand the relationship between spherical and rectangular coordinates. In spherical coordinates, a point in space is defined by three numbers: the radial distance (r), the polar angle (φ), and the azimuthal angle (θ). Rectangular coordinates are related to the spherical ones through the transformation: x = rsin(φ)cos(θ), y = rsin(φ)sin(θ), and z = rcos(φ). When solving for limits or when integrating in spherical coordinates, one must consider the switch from rectangular to spherical by using these formulas to express the function in terms of r, φ, and θ. This change of coordinates can simplify solving for limits, especially when dealing with functions that have spherical symmetry.