NIMCET 2023 — Mathematics PYQ
NIMCET | Mathematics | 2023limx→1x−1x4−1=limx→1x2−k2x3−k2
Then find k.
Choose the correct answer:
- A.
8/3
(Correct Answer) - B.
4/3
- C.
2/3
- D.
1
8/3
Explanation
1. Left-Hand Side (LHS):
Using formula limx→ax−axn−an=nan−1
x→1limx−1x4−14=4(1)4−1=4
2. Right-Hand Side (RHS):
Using formula limx→axm−amxn−an=mnan−m
x→klimx2−k2x3−k3=23k3−2=23k
3. Equating LHS and RHS:
4=23k
4×2=3k
8=3k
k=38
Explanation
1. Left-Hand Side (LHS):
Using formula limx→ax−axn−an=nan−1
x→1limx−1x4−14=4(1)4−1=4
2. Right-Hand Side (RHS):
Using formula limx→axm−amxn−an=mnan−m
x→klimx2−k2x3−k3=23k3−2=23k
3. Equating LHS and RHS:
4=23k
4×2=3k
8=3k
k=38