  We study the null geodesics extending from the near-horizon region out to the
far region in the background of the Schwarzschild and the singly-spinning
Myers-Perry black holes in the large dimension limit. We find that in this
limit the radial integrals of these geodesics can be obtained by using the
method of matched asymptotic expansions. If the motion of the photon is
confined to the equator plane, then all geodesic equations are solvable
analytically. The study in this paper may provide a toy model to analyze the
observables relevant to the electromagnetic phenomena occurring near the black
holes.
