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(a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using L’Hopital’s Rule if necessary. (c) U...

Question

(a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using L’Hopital’s Rule if necessary. (c) Use a graphing utility to graph the function and verify the result in part (b). $$\lim _{x \rightarrow 0^{+}} x^{3} \cot x$$

(a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using L’Hopital’s Rule if necessary. (c) Use a graphing utility to graph the function and verify the result in part (b). $$\lim _{x \rightarrow 0^{+}} x^{3} \cot x$$



Answers

(a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using L’Hopital’s Rule if necessary. (c) Use a graphing utility to graph the function and verify the result in part (b).
$$\lim _{x \rightarrow 0^{+}} x^{3} \cot x$$


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