The peak of Mt. Fuji in Japan is approximately 12,400 feet high. A trigonometry student, several miles away, notes that the angle between level ground and the peak is 30. Estimate the distance from the student to the point on level ground directly beneath the peak.

Limits and Discontinuity Notes Limits of sequences: 1/2 , k approaches ∞, and the fraction approaches 0. 0 is the limit as k approaches ∞. (2 -1)/2 , k approaches ∞, and the fraction approaches 1. 1 is the limit as k approaches ∞. Limits of average rates of change: finding final instantaneous velocity, calculate the rate of change over the last quarter second. Can’t find actual final velocity because can’t use r= ∆s/∆t when ∆t is 0, we just approach a value as ∆t approaches 0(this is a derivative). In general, limits help us discuss what happens when we let things get infinitely lim f (x)=L small, infinitely large, or close to some number. x→ c , as f(x) approaches L, as x gets clo