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- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?Estimate the limit numerically or state that the limit doesn't exist lim h→0 cos(9/h)For the attatched functions, either find the limit at (x, y) = (0, 0), or show that the limit doesn't exist.
- In this example, we can combine the three simple results following the limit definition with the results in Theorem 1 to calculate the limits. We simply substitute the x- and y-values of the point being approached into the functional expression to find the limiting value.Use l'Hôpital's rule to find the limit of limθ→0 7 cosθ−7/2θ.