Indeterminate Forms and de L'hospital's Rule - Page 5

Questions
  • How do you evaluate #lim_(x->1)# #(sin(7pix))/(sin(8pix))#?
  • What is #lim theta->0# of #(2sin3theta)/(theta)#?
  • How to evaluate #lim_(x->0) sin(6x)/(3x) #?
  • What is #lim_(xto0^+) ((1/x)-((1)/(e^(x)-1)))#?
  • How to calculate this? #lim_(a->1)int_0^axln(1-x)dx ; ain(0,1)#.
  • How do you evaluate #\lim _ { x \rightarrow 6} \frac { 2x - 12} { \sqrt { 3x + 7} - 5}#?
  • How to resolve #lim_(x to oo)root(4)x e^(-2x)#???
  • The intuition behind L'hopital's rule and the conditions which make it applicable?
  • Real and Imaginary Numbers Confusion!<br> Are set of real numbers and set of imaginary numbers overlapping?<br> I think that they are overlapping because #0# is both real and imaginary.
  • Determine the limit: limit of (1+3h)^1/h as h approaches 0. Help!?
  • What is #lim_(x->-2) sin(5x+10)/(4x+8)# ?
  • What is the value of? #lim_(x->0)(int_0^x sin t^2.dt)/sin x^2#
  • Could somebody help me to solve this, please?
  • Can I use L'Hospital for a function where the numerator is undefined ?
  • What is #lim_(x->1) (x^(1/3)-1)/(x^(1/4)-1)# ?
  • When is L'Hôpital's rule applicable ?
  • What is the limit using L' Hopital's Rule?
  • How could you evaluate the limit #lim_(x-> pi/4) (1 - tanx)/(sinx - cosx)#?
  • Solve this problem using l'hopital's rule?
  • What is the limit of this ? #lim_(x->0) (e^x - e^-x -2x)/(x-sinx)#