In fact, although the limit in Expression 1 exists, its value is not obvious ... There is a struggle between the two. If the numerator wins, the limit will be ...
Suppose f and g are differentiable functions and g'(x) 0 ... In simpler terms, if after substituting in a, Then. if the limit on the right side exists (or is ...
With justice we admire Huygens because he first discovered that a heavy particle ... Christiaan Huygens 1629-1695. Horologium oscillatorium, 1673. Daniel ...
If and are sufficiently close to a, then we. can make and arbitrarily close to. zero, since , and arbitrarily close. to . Examples where L'Hospital's Rule doesn't ...