Question

prove with explanation theta -
>0(lim). sin theta/theta =1

Points :-15☺

Answer 1

Lim(∅→0) sin∅/∅ =1

this can be proved by using expansion of sinx

sinx = x -x³/3! + x^5/5! -x^7/7 +........∞

use this in limit

Lim(∅→0)[∅ -∅³/3! +∅^5/5! -∅^7/7! +...∞]/∅

Lim(∅→0) [1 -∅²/3! +∅⁴/5! +∅^6/7!+..∞]

now put ∅ =0 to check limit you can see limit gain finite value e.g 1

so, Lim(∅→0) sin∅/∅ = 1

★★★hence proved★★★

Answer 2

Answer:

Hence this is proved so it helps u