MTH 151 Study Guide - Final Guide: Inverse Hyperbolic Function, Indeterminate Form, Riemann Sum
Document Summary
Limits arise when we attempt to find the tangent to a curve or the velocity of an object. It is easy to guess the wrong value if we use inappropriate values of , but it is difficult to know when to stop calculating values. Sometimes calculators and computers give the wrong values: one-sided limits. Infinite limits: another example of a function whose graph has a vertical asymptote is the natural logarithmic function. 2. 3 calculating limits using the limit laws: laws: 2. 4 the precise definition of a limit: definition. Infinite limits at infinity: precise definitions, an infinite limit at infinity. 2. 7 derivatives and rates of change: tangents, the slope of the tangent line, velocities, derivatives, rates of change. 3. 2 the product and quotient rules: don"t use the quotient rule every time you see a quotient. Sometimes it"s easier to rewrite a quotient first to put it in a form that is simpler for the purpose of differentiation: table of differentiation formulas:
