In the last two examples below, notice that they are different exponential indeterminate forms, but we approach them with the same technique. {{CMD_181}} First determine the form of the limit, then compute the limit. {{MATH_182}} Select the correct choice. The form of the limit is {{CMD_183}} {{CMD_184}}{{MATH_185}}{{CMD_186}} {{CMD_187}} {{CMD_188}}{{CMD_189}} {{CMD_190}}{{MATH_191}}{{CMD_192}} {{CMD_193}} {{CMD_194}}{{CMD_195}} {{CMD_196}}{{MATH_197}}{{CMD_198}} {{CMD_199}}{{MATH_200}}{{CMD_201}} {{CMD_202}}{{MATH_203}}{{CMD_204}} {{CMD_205}} {{CMD_206}} Write {{MATH_207}} Now we look at the limit in the exponent. {{MATH_208}} Since {{MATH_209}} and {{MATH_210}}, we know that {{MATH_211}} has form {{MATH_212}}, so we can apply l'H{{CMD_213}}pital's Rule. That gives: {{ENV_214}} Notice that {{MATH_215}} had form {{MATH_216}}, we used l'H{{CMD_217}}pital's Rule again in that step. Remember that {{MATH_218}}. We just calculated that {{MATH_219}}, which means: {{MATH_220}} {{CMD_221}}