functions (resonance)

Q1 Let h(x) = l kx+5 l and domain of f(x) and f(h(x)) are [-5,7] and [-6,1] respectively, then value of k is _____ (the answer is X if cant say)

Q2. lim(x->0) [sinxx] = _____
[lim(x-->0) sinxx] = ______

7 Answers

29
govind ·

ans 2..
limx → 0 [ sinx/x] = 0
and [ limx → 0 sinx/x ] = 1

106
Asish Mahapatra ·

explain

29
govind ·

Ans 2....
sinx < x for any value of x..so in the first one sinx/x < 1 and [something < 1] = 0..
in the second part we know that limx→0 sinx/x = 1..so [1] = 1
correct me if i am wrong

106
Asish Mahapatra ·

but still the limit in the second case is NOT 1.
It is 1- .. So, [1-] = 0

naa??

1
rajatjain_ix ·

1) -1/3≤k≤2
rest ans same as given by govind..!

11
Mani Pal Singh ·

asish u said
but still the limit in the second case is NOT 1.
It is 1- .. So, [1-] = 0

naa??

bro ,if we have 0- then both the numerator and denominator will be 0 coz sin (-x)=-sinx

106
Asish Mahapatra ·

@mani bhaiya: i couldnt get u

Your Answer

Close [X]