Recent content by moocav

Homework Statement http://img227.imageshack.us/img227/9792/hopitalsruleandlimits.png Ive added a picture of the question. I know that l'hospital's rule is lim x->a f(x)/g(x) = lim x->a f'(x)/g'(x) but I don't understand how to apply it in this situation >< and the other questions I don't...

Ok thankyou (: umm another question unrelated but now I have another concern for a function to be STRICTLY increasing, is the point 0 actually included? Because me and my friends all have different opinions. So the gradient at x = 0 is 0 so would the function still be considered as strictly...

Homework Statement If z = cosθ + isinθ, show that zn + z-n = 2cosnθ. Hence solve the equation 3z4 - z3 + 4z2 - z + 3 = 0 for complex z. (Hint: Reduce the given equation to an equation with the unknown cosθ) Homework Equations z = cosθ + isinθ zn + z-n = 2cos(nθ) 3z4 - z3 + 4z2 - z + 3...

Its only two questions now >< and they don't have to answer them all...just whichever ones they can ><

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2 Induction Questions Homework Statement I have quite a few questions and so i just made it an image. Also attached. http://img411.imageshack.us/img411/1002/inductionforlife.jpg" Only need help with questions 2 and 5 now Oh and so far my lecturer has taught well-ordering, strong induction...