Special Limits Involving sin(x), x, and tan(x) - Page 6

Questions
  • How to solve #lim_(x->prop) x sin (pi/x)=# ?
  • Is #f(x)=x^3 + 5 sinx # and odd or even function, or neither?
  • Putting x=theta-pi/4 show that limit of (sintheta-costheta)/(theta-pi/4)=sqrt2 as theta approaches to pi/4?
  • Lim (x^3-8)/(sin(pi*x)) x-> 2 Help me please ???
  • How to solve properly #int tan(x)/cos^2x#?
  • Putting z=x-pi/4 show that limit of (1-tanx)/(1-sqrt2 sinx)=2 as x approaches to pi/4?
  • What is #lim_(x->0) (2x^2-arctan^2 x)/(3x^2+arctan^2 x)# ?
  • Where is #f(x) = cot x# discontinuous?
  • How do you find the definite integral of cos^4(2x)sin(2x) dx?
  • #lim_(x to 0) sin^5(x)/ (x^2+x) sin(x^4)# how should i solve it?
  • Does the function #f(x) = sinx/x# have a removable discontinuity at #x=0#?
  • #lim_(x->pi/2)((2x)/pi + cos x)^(1/cos x)#?
  • What is the integral nalue of #n# for which #lim_(x->0)[cos^2x-cosx-e^xcosx+e^x-x^3/3]/x^n# is a finite non-zero number?
  • What is #\lim _ { n \rightarrow 0} \frac { n ( 2^ { x } - 1) } { 1- \cos x }#?
  • #int_0^50(x-abs(x))dx# how do I solve this?
  • How do you prove this is true using the identity (cos(x)-1)/x = 0 as x approaches 0?
  • F(x) = e^(-.2x)*cos(2x) + 2 true or false?
  • Evaluate the limit #\lim_{x\rightarrow 0^+}(1/tan(x))^{1/ln(x)}#?
  • What is #\int ( 4x ^ { 3} + \cos x ) d x#?
  • Calculate # lim_(x rarr 0)x/(sin3x) =1/3 #?