Let f(x) = {{:((cos x-e^(x^(2)//2))/(x^(3))",",x ne 0),(0",",x = 0):}, then Statement I f(x) is continuous at x = 0. Statement II lim_(x to 0 )(cos x-e^(-x^(2)//2))/(x^(3)) = - (1)/(12)

Let f(x) = {{:((cos x-e^(x^(2)//2))/(x^(3))",",x ne 0),(0",",x = 0):},

1.	Let f(x) = {{:((cos x-e^(x^(2)//2))/(x^(3))",",x ne 0),(0",",x = 0):}, then Statement I f(x) is continuous at x = 0. Statement II lim_(x to 0 )(cos x-e^(-x^(2)//2))/(x^(3)) = - (1)/(12)
Answer» STATEMENT I is CORRECT, Statement II is also correct, Statement II is the correct EXPLANATION of Statement I Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I Statement I is correct, Statement II is incorrect Statement I is incorrect, Statement II is correct. ANSWER :A

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Let f(x) = {{:((cos x-e^(x^(2)//2))/(x^(3))",",x ne 0),(0",",x = 0):}, then Statement I f(x) is continuous at x = 0. Statement II lim_(x to 0 )(cos x-e^(-x^(2)//2))/(x^(3)) = - (1)/(12)

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