Limits
Limits
compute a limit
lim (sin x - x)/x^3 as x->0
limit (1+1/n)^n as n->infinity
take the limit of a difference quotient
lim ((x+h)^5 - x^5)/h as h->0
compute a limit involving abstract functions
lim (f(x+h) - 2f(x) + f(x-h)) / h^2 as h->0
One-sided Limits
compute one-sided limits at a point of discontinuity
lim (x^2 + 2x + 3)/(x^2 - 2x - 3) as x->3
specify direction of approach
lim x/|x| as x->0+
limit tan(t) as t->pi/2 from the left
Limit Representations
find limit representations for a function