Questions asked by Daniel T.

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• Solve the ecuation sinx+sin2x=2?
  
• How to solve the equation #cos^4(x)-sin^4(x)=1+sin(2x)#?
  
• How to solve ecuation: (#sqrt((1-sinx)/(1+sinx))#-#sqrt((1+sinx)/(1-sinx))#)(#sqrt((1-cosx)/(1+cosx)#-#sqrt((1+cosx)/(1-cosx)#=-4 ?
  
• How to calculate the limit of #(ln2/2+ln3/3+...+lnn/n)/ln^2n# when #x->∞# ?
  
• How to prove that #7*25^n+2*6^(n+1)# divides 19?
  
• Does anybody know how to solve the limit of #(x^x-x^{x^2})/(1-x)^2# when #x->1# ?
  
• How to calculate the limit of #((1+x)^{x}-1)^x# when #x->+0# ?
  
• How to solve the limit of #int_0^x t^2e^{-t}dt# when # x -> #infinite?