Factorization Method Form to Remove Indeterminate Form
Trending Questions
Q.
The values of constants a and b so thatlimx→∞(x2+1x+1−ax−b)=12, are
a=1, b=−32
a=−1, b=32
a=0, b=0
a =2, b= -1
Q. limx→π4cosx−sinx(4x−π)=
- −12√2
- 116
- 132√2
- 116√2
Q.
Find the value of limx→0√a+x−√ax
12√a
2√2
2√a
√a2
Q. The domain of the function 1√|x|−x is
- ϕ
- R−{0}
- (−∞, 0)
- (0, ∞)
Q. The domain of the function f(x)=1√x+|x|, is
- (1, ∞)
- (−∞, 0)
- (0, ∞)
- (√2, ∞)
Q. If L=limx→−23x2+kx+k−72x2+x−6 exists and is finite, where k is a real number, then the values of k and L are
- k=5, L=−1
- k=5, L=1
- k∈R, L=32
- k=−5, L=1
Q. limn→∞(sin4θ+14sin42θ+.......+14nsin4(2nθ)) is equal to
- sin2θ
- sin4θ
- cos2θ
- cos4θ
Q. The value of limx→0 tan x−sin xsin3 x is
- 1
- \N
- 12
- 32
Q. Let f(x)=5−|x−2| and g(x)=|x+1|, x∈R. If f(x) attains maximum value at α and g(x) attains minimum value at β, then limx→−αβ(x−1)(x2−5x+6)x2−6x+8 is equal to:
- 12
- −12
- 32
- −32
Q.
The value oflimx→01−cos3xxsin xcosx
2/5
3/5
3/2
3/4
Q. The value of limx→01−8x−9x+(72)x(9x−8x)(tan9x−sin8x) is
- ln8⋅ln9⋅ln(98)
- ln8⋅ln9⋅ln(89)
- 6ln8⋅ln9⋅ln(89)
- ln8⋅ln9ln(98)
Q. ABC is an isosceles triangle inscribed in a circle of radius r. If AB = AC and h is the altitude from A to BC.The triangle ABC has perimeter P=2[√(2hr−h2)+√2hr] and A be the area of the triangle .Find limh→0AP3
- 1r
- 164r
- 1128r
- 12r
Q.
limn→ 0n!(n+1)!−n!is equal to:
0
∞
1
does not exist