Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.

Question
Problem 1
co of this equation:
Find the limit as x
y= x2/x
As x
0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO
1. Find the values of y at x 2, 4, -1), and -4
2. Apply the In function to both sides of the equation. Recall that In(xa)
side, you will get a result of the form In(x)/x
a lin(x). On the right
3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0
4. Apply the exponential function to both sides of the equation you got in the previous step to
show that the limit of y
1 as x > co.
Expand
Transcribed Image Text

Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.

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