Questions asked by Wil052

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• Is it true that if f(x) < g(x) for all x ∈ (c-ε , c+ε ) and that lim x -> c f(x) and lim x-> c g(x) both exists that lim x->c f(x)< lim x->c g(x)?
  
• A ladder 10ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is #pi/4# rad?