The value of limn→∞∑r = 1nr3r4 + n4 is
12loge12
14loge12
14loge2
12loge2
The value of limx→1x + x2 + ... + xn - nx - 1
n
n + 12
nn + 12
nn - 12
limx→0sinπsin2xx2 is equal to
π2
3π
2π
π
If N = n!(n n ∈ N, n > 2, then find
limN→∞log2N- 1 + log3N- 1 + ... + lognN- 1
Use the formula limx→0ax - 1x = logea to compute limx→02x - 11 + x - 1
The value of limx→0sinx + cosx - 1x2
1
12
- 12
0
The value of limx→01 + 5x21 + 3x21x2
e2
e
1e
1e2
If f(5)=7 and f'(5)=7 then limx→5xf(5) - 5fxx - 5 is given by
35
- 35
28
- 28
The value of f(0) so that the function 1 - cos1 - cosxx4 is continuous everywhere is
14
16
18
limx→0sinxx is equal to
positive infinity
does not exist