Engineering Mathematics · topic
Standard limits, indeterminate forms and L'Hopital's rule with its conditions, the 1 to the power infinity form, one-sided limits, continuity and types of discontinuity, differentiability and the relation between continuity and differentiability.
A limit describes what f(x) approaches as x approaches a point, without caring what happens at the point itself. Continuity, derivatives and definite integrals are all defined through limits, and in computer science limits compare growth rates of running times.
A function is continuous where its graph has no break, and differentiable where the graph also has a well-defined tangent slope.
One-page visual sheets for this topic, in the sheet library on the store. Previews are free; the full sheets come with the subject pack.
