Special Limits Involving sin(x), x, and tan(x) - Page 4

Questions
  • What is the limit as #x->pi/2# of #(1+2cotx)^(tanx)#?
  • What is the limit as #x -> ∞# of #e^(-2x)cosx#?
  • The function k(x)=tanx is concave in which point?
  • How do you evaluate the limit (sin^2(3x)/(sin(x^2)) as x approaches 0?
  • How to find the values for x for which the function #y=sqrt(tan(x))# is not differentiable?
  • Evaluate # lim_(x->0) (tanx-sinx)/(xcosx)#?
  • Integration of [X+[x+[x]]] at limit -1 to 1 ?
  • Integration of cosx.sin square x ?
  • How do you evaluate #\lim _ { x \rightarrow 0} \frac { \sin ^ { 3} 2x } { \sin ^ { 3} 3x }#?
  • Give example of functions f and g such that #lim_(xrarrc)[f(x)*g(x)]# exists but either #lim_(xrarrc)f(x)# or #lim_(xrarrc)g(x)# does not?
  • Use the Intermediate Value Theorem to show that cosx=x have at least a solution in [0,π]?
  • The function f(x)= x sinx this function is concave and convex in which points?
  • How do you solve #\lim _ { x \rightarrow 0} ( \frac { \tan 3x } { \sin 2x } ) #?
  • How do you prove that lim x->π of (π-x)/(sinx) = 1?
  • # lim_(x→0) tan(x)/ (x + sin(x))#?
  • How do I solve this limits question??
  • How do you evaluate #\lim _ { x \rightarrow 0} \frac { \sin | x | } { x } =#?
  • How do you find #\lim _ { \theta \rightarrow 0} \frac { 1- \cos p \theta } { 1- \cos q\theta }#?
  • How do you find #\lim _ { x \rightarrow ( \pi / 2)^+ } e ^ { \tan x }#?
  • How do you find #lim x->(3pi)/4# of #e^(x-(3pi)/4)/cosx#?