Limit CLass 9

What is the limit of the sequence

 $\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},\frac{1}{32},......\ ?$  

•  $\infty$  

• o

• 1

• -  $\infty$  

What is the limit of the sequence of the sequence 100, 90, 80, 80, 70, 60 ,...?

• 0

• 60

•  $\infty$  

• -  $\infty$  

 The general term of the sequence is given that    $t_n=2n^2$  . What is the limit value of the sequence ?

• 0

•  $\infty$  

• - $\infty$  

• None of the above

Take a line segment having length 10 cm. Bisect it one time. Again bisect the bisected part and continue it. What will be the limit of this sequence process ?

• 1 cm

• 
  

  $\infty$
  

• - $\infty$

• 0

A 24 cm long long cucumber is bisected continuously for half-half part. How many times should it be cut until it becomes a 0 cm?

• 100 time

• 10 times

• infinitely many

• 1000 times

A bottle is full of 800 ml water. A boy drink 400 ml water in the first drink, 200 ml in the second drink, 100 ml in the third drink and so on. What is the limiting amount of water in the bottle at last ?

• 2 ml

• 1 ml

• 0 ml

• 50 ml

The circle with radius 4 cm is given alongside. How many circle can be drawn inside the given circle having same center of the circle.

• 4

• 8

• 1

• infinite many

In the given figure, in the same way circles are drawn inside the given circle taking same center,what will be the limit of area and circumference ?

• area is 0 and circumference is 1 cm

• ares is $1cm^2$ and circumference is 1 cm

• area and circumference is 0
  

• None of the above

Which of the following sequence had limit fixed real number ?

• 2, 4, 8,1 6,.......

• -3, 6, -12, 24, .....

• 0.6, 0.06, 0.006, 0.0006,...

• 10, 9, 8, 7, 6, ...

Here are the circles with same radius and different inscribes regular polygons. If number of sides of polygon are increase, then what will be the difference (gap) between circle and regular polygon ?

• a. $\infty$

• b. 0

• c. 1

• d. Both (a) and (b)