Question

What you must do when you have a limit of a function that is in the indeterminate form?

- (NOTE: You cannot use L'Hospital's rule because we haven't covered it.)

Answer #1

a) Determine all x-values where the function has a horizontal
tangent line. y=ln(1+sinx)
b) The position of a particle is given by s(t)+2e^t/t . What is
the particle's acceleration at t=1? Round to 2 decimal
places.
c)Determine the limit using L'Hospital's rule. Before applying
the rule, first verify that the function is a simplified
indeterminate form. The rule may need to be used more than once.
lim x->0 x^2/1-cosx

Please solve and show work when necessary:
1. What is the definition of a limit?
2. What are the 8 properties of a limit?
3. What does it mean to be indeterminate?
4. What is the definition of a Vertical Asymptote and how do you
find the vertical asymptote ( Hint their a 2 cases)
5. What is a Horizontal Asymptote and what are the 3 cases in
determining the horizontal asymptote?
6. What is the definition of continuity?
7....

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