Problem 176E: In the following exercises, write the appropriate definition for each of the given statements. 176.... Problem 177E: In the following exercises, write the appropriate definition for each of the given statements. 177.... Problem 178E: In the following exercises, write the appropriate definition for each of the given statements. 178.... Problem 179E: In the following exercises, write the appropriate definition for each of the given statements. 179.... Problem 180E: The following graph of the function f satisfies limx2f(x)=2 . In the following exercises, determine... Problem 181E: The following graph of the function f satisfies limx2f(x)=2 . In the following exercises, determine... Problem 182E: The following graph of the function f satisfies limx3f(x)=1 . In the following exercises, determine... Problem 183E: The following graph of the function f satisfies limx3f(x)=1 . In the following exercises, determine... Problem 184E: The following graph of the function f satisfies limx3f(x)=2 . In the following exercises, for each... Problem 185E: The following graph of the function f satisfies limx3f(x)=2 . In the following exercises, for each... Problem 186E: [T] In the following exercises, use a graphing calculator to find a number such that the statements... Problem 187E: [T] In the following exercises, use a graphing calculator to find a number such that the statements... Problem 188E: In the following exercises, use the precise definition of limit to prove the given limits. 188.... Problem 189E: In the following exercises, use the precise definition of limit to prove the given limits. 189.... Problem 190E: In the following exercises, use the precise definition of limit to prove the given limits. 190.... Problem 191E: In the following exercises, use the precise definition of limit to prove the given limits. 190.... Problem 192E: In the following exercises, use the precise definition of limit to prove the given limits. 192.... Problem 193E: In the following exercises, use the precise definition of limit to prove the given one-sided limits.... Problem 194E: In the following exercises, use the precise definition of limit to prove the given one-sided limits.... Problem 195E: In the following exercises, use the precise definition of limit to prove the given one-sided limits.... Problem 196E: In the following exercises, use the precise definition of limit to prove the given infinite limits.... Problem 197E: In the following exercises, use the precise definition of limit to prove the given infinite limits.... Problem 198E: In the following exercises, use the precise definition of limit to prove the given infinite limits.... Problem 199E: An engineer is using a machine to cut a flat square of Aerogel of area 144 cm2. If there is a... Problem 200E: Use the precise definition of limit to prove that the following limit does not exist: limx1|x1|x1 . Problem 201E: Using precise definitions of limits, prove that limx0f(x) does not exist, given that f(x) is the... Problem 202E: Using precise definitions of limits, prove that limx0f(x) does not exist:... Problem 203E: Using precise definitions of limits, prove that limx0f(x) does not exist:... Problem 204E: Using the function from the previous exercise, use the precise definition of limits to show that... Problem 205E: limxa(f(x)g(x))=LM Problem 206E: limxa[cf(x)]=cL for any real constant c (Hint. Consider two cases: c = 0 and c0 .) Problem 207E: limxa[f(x)g(x)]=LM.(Hint:|f(x)g(x)LM|=|f(x)g(x)f(x)M+f(x)MLM||f(x)||g(x)M|+|M||f(x)L|). format_list_bulleted