Given #f(x) = sint/t#. How do you show that #f(t)# has a maximum value as #t->0#?

Related questions

• What are continuous functions?
• What facts about continuous functions should be proved?
• How do you use continuity to evaluate the limit #sin(x+sinx)# as x approaches pi?
• How do you find values of x for which the function #g(x) = (sin(x^20+5) )^{1/3}# is continuous?
• How do you find values of x where the function #f(x)=sqrt(x^2 - 2x)# is continuous?
• How do you use continuity to evaluate the limit sin(x+sinx)?
• Given two graphs of piecewise functions f(x) and g(x), how do you know whether f[g(x)] and...
• How do you find the interval notation to prove #f(x)= x/(sqrt(1-x^2))# is continuous?
• How do you use continuity to evaluate the limit #(e^(x^2) - e^(-y^2)) / (x + y)# as #(xy)#...
• How do you show that the function #f(x)=1-sqrt(1-x^2)# is continuous on the interval [-1,1]?