Calculate the following limits:(a) limx→0sin(2x2 + x3)x ; (b) limx→0√x(sin(1/x) − cos(1/x)).
Question
Solution 1
(a) limx→0sin(2x2 + x3)/x
Step 1: We can see that direct substitution will give us 0/0 which is an indeterminate form. So, we can use L'Hopital's Rule which states that the limit of a quotient of two functions as x approaches a certain value is equal to the limit of the quotients of their derivativ Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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