3. Determine lim In xy. (x.y)(e4) 4. Maisy the bewildering Bernedoodle is working on evaluating the limit: хе-х lim (x,y)(0,0) y (a) Maisy first thinks that because she gets when 0 is plugged into x and y, the limit is undefined. Then she remembers that sometimes we still can have a limit exist with this indeterminate form. In fact, for example we could use L'Hopital's Rule to show lim- e* -1 = 1. Use L'Hopital's Rule to verify this X-0 example. (b) Maisy is now convinced that she can use L'Hopital's Rule to help solve her limit, but she doesn't know how to start the problem. Help Maisy separate the limit into the product of two single variable functions. Then use L'Hopital's Rule to help her calculate the limit.

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3. Determine lim In xy.
(x,y)(e? 4)
4. Maisy the bewildering Bernedoodle is working on evaluating the limit:
хе— х
lim
(x,y)(0,0)
y
(a) Maisy first thinks that because she gets - when 0 is plugged into x and y, the
limit is undefined. Then she remembers that sometimes we still can have a
limit exist with this indeterminate form. In fact, for example we could use
L'Hopital's Rule to show lim
e* – 1
= 1. Use L'Hopital's Rule to verify this
example.
(b) Maisy is now convinced that she can use L'Hopital's Rule to help solve her
but she doesn't know how to start the problem. Help Maisy separate the limit
into the product of two single variable functions. Then use L'Hopital's Rule to
help her calculate the limit.
Transcribed Image Text:3. Determine lim In xy. (x,y)(e? 4) 4. Maisy the bewildering Bernedoodle is working on evaluating the limit: хе— х lim (x,y)(0,0) y (a) Maisy first thinks that because she gets - when 0 is plugged into x and y, the limit is undefined. Then she remembers that sometimes we still can have a limit exist with this indeterminate form. In fact, for example we could use L'Hopital's Rule to show lim e* – 1 = 1. Use L'Hopital's Rule to verify this example. (b) Maisy is now convinced that she can use L'Hopital's Rule to help solve her but she doesn't know how to start the problem. Help Maisy separate the limit into the product of two single variable functions. Then use L'Hopital's Rule to help her calculate the limit.
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