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View Solution Evaluate the following limit : limx→0√1+x−1log(1+x). View Solution Evaluate the following limit : limx→02x−1√1+x−1. View Solution Evaluate the following limit : limx→05x−1√4+x−2. View Solution...
The limit of the function is commonly computed by simply substituting the limit value. However, if the result is an indeterminate form such as {eq}\displaystyle \frac{0}{0} {/eq} and {eq}\displaystyle \frac{\infty}{\infty} {/eq}, L'Hospital's rule is applied as represented by the ...
Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn(.) denotes fractional part function and signum function respectively) is equal to
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lim_(x rarr0)(sin x)/(sqrt(x^(2)))= View Solution lim_(x rarr0)(sin x)/(sqrt(x^(2)))= View Solution .limx→0x2sinx2 View Solution limx→0x2sin(1x)is equal to View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, C...
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Evaluate the limit, if exists :limx→0(a+x)2sin(a+x)−a2sinax View Solution Evaluate the limits, if existlimx→0log(1+x3)sin3x Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Cla...
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If Lim(x rarr0) ((a sin x + b tan x)/x^(3))= 3/2 then |a+2b| is equal ... 03:39 lim(n rarr 0)(1/(1+n^(2))+2/(1+n^(2))+3/(1+n^(2))+...+n/(1+n^(2))) is... 01:41 Find the value of lim(n rarr oo)sum(k=1)^(n)(k^(2)+k-1)/((k+1...