Questions

1) Evaluate limx->infinity cosx/x or explain why it doesnt exist?

2) Evaluate lim t->4 (t-√3t+4)/t-4 or explain why it doesnt exist?

3) Evaluate lim x->13 x-1/√x-1 or explain why it doesnt exist?

4) Let f(x)= sinx/x if x#0

f(x)= 1/2 if x=0

Discuss the continuity of f(x) and Sketch.........

Plz Give the Answers

58 Answers

1
Harry Potter ·

itnaaa Genius in this site,..........and no repliezzzzz........[3][3][3]..............[9][9][9]........

33
Abhishek Priyam ·

[3] have patience... [3]

33
Abhishek Priyam ·

hey first one is zero...

-1/x≤cosx/x≤1/x ... (x>0)

apply sandwitch theoremm...

1
Harry Potter ·

k afterwards....plzz continue.....

33
Abhishek Priyam ·

3rd .. doesnot exists.. as denominator.. becomes undefined for
LHL

1
Harry Potter ·

wat abt 2nd and 4th priyam.....continue.........

33
Abhishek Priyam ·

4.. limx->0 f(x)=1

and f(x)=1/2

so discontinuous...

1
Harry Potter ·

ur juzz awesome yaar..thanks........alot.......[1][1][1].....

33
Abhishek Priyam ·

2nd kar lo naa... exist karega..

33
Abhishek Priyam ·

5/8 sayad..

1
Harry Potter ·

hey can u check once more ur answer....2nd.......????[7][7][7].......

33
Abhishek Priyam ·

okie... banakar dekhte hain...

33
Abhishek Priyam ·

sahi hai.. 5/8 hi hoga..

1
Harry Potter ·

im getting 5/6.....may be some problem while my solving.....[2][2][2]..........

1
Harry Potter ·

replies plzzz..........[1][1][1]........

11
Mani Pal Singh ·

yes u r right

33
Abhishek Priyam ·

[1]

3
msp ·

i think first one doesnt exist

L is a no dat is defined but in the first ques cos∞=f(X) and g(x)=x which is also not defind so limit wont exist.

33
Abhishek Priyam ·

hey...

as x becomes larger and larger... cos(x)/x tends to zero....

1
skygirl ·

5/8 hi toh hai !

33
Abhishek Priyam ·

what about...

lim x/x2 ....
x→∞

same hai balki isse bhi jaldi zero ho jaega...

1
Harry Potter ·

ya i got it now.....thanks sky.......but i forgot to rite thats all....[1][1][1]..

3
msp ·

but can u explain y the defn goes rong in this case abi

33
Abhishek Priyam ·

u also solved that... gr8...

[3]

1
skygirl ·

first has to be zero...

num is finite but deno infinite..

so something like k/∞ =o

1
skygirl ·

first has to be zero...

num is finite but deno infinite..

so something like k/∞ =o

1
skygirl ·

first has to be zero...

num is finite but deno infinite..

so something like k/∞ =o

3
msp ·

arey abhi aapa kya bholta hun.mujey hindi thoda thoda malumm so pls talk in english.

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