Limits & Continuity Questions and Answers


Calculus
Limits & Continuity8 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



Calculus
Limits & ContinuityFind the local quadratic approximation of x x 1 and use that approximation to find the approximation of 1 1

Calculus
Limits & Continuity2 Classify each series as convergent conditionally convergent or divergent a 1 1 1 3k x 1


Calculus
Limits & ContinuityGraph 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


Calculus
Limits & Continuityttry 0 of 1 pts See Details for mo Get a similar quest uestion hit using L Hospital s rule

Calculus
Limits & ContinuitySuppose 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

Calculus
Limits & ContinuityQuestion 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




Calculus
Limits & ContinuityQuestion 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