Special Limits Involving sin(x), x, and tan(x) - Page 5

Questions
  • 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 find #\lim _ { \theta \rightarrow 0} \frac { 1- \cos p \theta } { 1- \cos q\theta }#?
  • 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?
  • How to solve this? #lim_(x->0)(tan(tanx)-tanx)/(x^3)#
  • # lim_(x→0) tan(x)/ (x + sin(x))#?
  • For what value of #x# is the slope of the tangent line to #y=x^5 -x^2 +sinx# undefined?
  • How do I solve this limits question??
  • How do you evaluate #lim_(x-> 0) tanx/x#?
  • How do you evaluate #\lim _ { x \rightarrow 0} \frac { \sin | x | } { x } =#?
  • 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#?
  • What is #lim_(x-> 0) xcsc(2x)#?
  • What is #lim x->0# of #((sqrt(1+sinx) -1) / (x))#?
  • Is xcos2x even or odd?
  • How do I solve this limit? #lim_(x->0)((1-cos^3(3x))/(xsin6x))#
  • How to integrate? #int dx/(sin^2 x+3sin x cos x-cos^2 x) #
  • Integrate log(sinx) from 0 to pi /2?
  • How do you solve #lim x-> pi/4# of #xcos^2x#?