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Help on this math question ASAP

Can someone please show me how to solve this step by step, I'll be having a test in an hour
(edited 4 years ago)
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All of them?
What is the problem with the first question?
Original post by Sultanafahimaaa
Can someone please show me how to solve this step by step, I'll be having a test in an hour
Original post by Sultanafahimaaa
Can someone please show me how to solve this step by step, I'll be having a test in an hour


Nah not step by step, here's something to think about...

For secx1xsecx\dfrac{\sec x - 1}{x \sec x} you can multiply numerator and denominator by cosx\cos x and get 1cosxx\dfrac{1-\cos x}{x}. For limit as x0x \to 0, this becomes a limit of the form 00\dfrac{0}{0}, which means you can apply L'Hopital rule.

For the second limit, divide numerator and denominator by x2x^2. Find the limit of the leftover expression.

For Q2, determine limits as x0x \to 0 and x±x \to \pm \infty, what are the the axes intercepts? Does this function have a certain max/min?

For Q3, use a substitution... I'll let you think of what it should be.

and for Q4 we can deal with it if you get there.

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