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Identify the correct statement. a. lim(...

Identify the correct statement.
a. `lim_(xtooo)[sum_(r=1)^(n)1/(2^(r))]=1`
b. If `f(x)=(x-1){x},` where `[.]` and `{.}` denotes greatest integer function and fractional part of x respectively, the limit of `f(x)` does not exist at `x=1`
c. `lim_(xto0^(+))[(tanx)/x]=1`
d. `[lim_(xto0^(+))(tanx)/x]=1`

A

`lim_(xtooo)[sum_(r=1)^(n)1/(2^(r))]=1`

B

If `f(x)=(x-1){x},` where `[.]` and `{.}` denotes greatest integer function and fractional part of x respectively, the limit of `f(x)` does not exist at `x=1`

C

`lim_(xto0^(+))[(tanx)/x]=1`

D

`[lim_(xto0^(+))(tanx)/x]=1`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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