An injured frog is stuck at the bottom of a well that is $8$8 m deep. It tries to jump out, but each jump injures it further and so it can only jump half as far as its previous jump.
If the frog's first jump takes it $4$4 m up the well, how far will it be after the second jump?
How far will it be after the third jump?
Assuming the frog can continue to jump in this fashion forever, will it ever get out of the well?
Identify discontinuities and limits of functions
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