Questions from General Calculus

Q: Let / (a). Show that f

Let (a). Show that f is continuous at 0. (b). Investigate graphically whether f is differentiable at by zooming in several times toward the point (0, 1) on the graph of f. (c). Show that f is not d...

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

Q: Produce graphs of f that reveal all the important aspects of the

Produce graphs of f that reveal all the important aspects of the curve. In particular, you should use graphs of f' and f" to estimate the intervals of increase and decrease, extreme values, intervals...

Q: Given that which of the following limits are indeterminate forms? For

Given that which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible.

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...