Algebra of Limits
Trending Questions
Q. If f(x)={sinx, x≠nπ, nϵI2, otherwise and g(x)=⎧⎪⎨⎪⎩x2+1, x≠0, 24, x=05, x=2, then limx→0g{f(x)}
- 6
- 7
- 1
- 5
Q.
Find the value of limx→2x2−4x+2
4
0
Limit does not exist
2
Q.
Find the value of limx→π2sinxx
0
π2
2π
limit does not exist
Q.
limx→∞cos2xx=
0
1
−1
∞
Q.
limx→a[f(x)+g(x)]=limx→af(x)+limx→ag(x)
is valid if limx→af(x) does not exists?
False
True
Q.
limx→1f(x)=5, and limx→1g(x)=2 find the value of limx→1([g(x)]f(x))
Q.
If limx→a[f(x)+g(x)]=10 and limx→af(x)=2, then find the value of limx→ag(x), provided that limx→af(x) and limx→ag(x) exists
Q.
If limx→af(x)=l and limx→ag(x)=m, then limx→a(f(x))g(x)=l m
True
False
Q.
limn→∞ 20∑x=1 cos 2n(x−10) is equal to
0
1
19
20
Q. Let α(a) and β(a) be the roots of the equation (3√1+a−1)+(√1+a−1)x+(6√1+a−1)=0 where a>−1. then lima→0+α(a) and lima→0+β(a) are
- −52 and 1
- −12 and −1
- −72 and 2
- −92 and 3