Limits & Continuity Questions and Answers

Without using a calculator find all the solutions of 1 2 where t cos t

8 9 marks Evaluate the following limits a sin 2 1 X b c lim x 0 lim x 3 x 0 lim log2z z 1 6x 2x x 1 X

c 8 1 1 x 1 3 k

9 1 e IF

Find the local quadratic approximation of x x 1 and use that approximation to find the approximation of 1 1

2 Classify each series as convergent conditionally convergent or divergent a 1 1 1 3k x 1

1 Determine whether the series converges a GO x 1 1 1 2k 1

Graph of f The figure above shows the graph of a function fwith domain0sxs4 Which of the following statements are true 1 lim f x exists 2 2 II lim f x exists 2 2 23 III lim f x exists B D E I only Il only I and II only I and III only I II and III D

Consider the graph of f x What is the average rate of change of

ttry 0 of 1 pts See Details for mo Get a similar quest uestion hit using L Hospital s rule

Suppose f 5 3 f 5 10 g 5 2 g 5 1 and that f x g x are continuous for all x f x 3 lim x5 g x 2 O 0 O Cannot Be Determined

Question 10 The graph of y f x is shown Assume f x is continuous Find 8 7 6 xf x 16 lim x4 f x x 60 5 4 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 3 2 3 4 5 6 7 0

Consider lim e8x x X4 a lim 8x x X18 Question Tali

mework 2

Evaluate sin 8x 1 lim 70 p7z

Question nslate the exponential statement into an equivalent arithmic statement 83536 points Points 0 of 1 The equivalent logarith 2000 ce 36 7167 Use integers or decim the equation