calculate this simple limit........

lim sin(√x)/√x
x→0+

6 Answers

1
Vivek ·

is it 1?

62
Lokesh Verma ·

is it not 1!!?

24
eureka123 ·

@ sir there is something involved here which i will reveal later when someone will commit that mistake..........

others post ur soln also........

1
Vivek ·

\lim_{x\rightarrow 0 } \frac{1}{\sqrt{x}} \left( \sqrt{x} - \frac{x\sqrt{x}}{3!} + ....\right) = 1

using expansion of sinx

106
Asish Mahapatra ·

it is limit x--> 0+ so it is 1 .. if it was just x-->0 then undefined ...

1
Optimus Prime ·

lim x→0+ sin√x/√x

lim h→0 sin√0+h/√0+h

lim h→0 sin√h/√h

=1

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