Question

lim x tends to π/2 ( cosx ÷ π-2x)

Answer 1

the answer of above equation is 1by2

Answer 2

Answer:

1/2

Step-by-step explanation:

lim cos x

______

x--->π/2 π-2x

lim cos x

______

x-->π/2 2(π/2-x)

let π/2-x=u

clearly, u--->0,x-->π/2, so π/2-x=u

lim cos(π/2-u)

________

u-->0 2u

using the identity lim sin x

_______ =1

x-->0 x

= 1/2×1 =1/2