Question Number 203330 by Calculusboy last updated on 16/Jan/24
Answered by MM42 last updated on 16/Jan/24
$$={lim}_{{x}\rightarrow\mathrm{1}} \:\frac{{sin}\left({x}−\mathrm{1}\right)}{\left({x}−\mathrm{1}\right)}\:×\frac{\mathrm{1}}{{x}+\mathrm{1}}=\frac{\mathrm{1}}{\mathrm{2}}\:\:\checkmark \\ $$
Commented by Calculusboy last updated on 16/Jan/24
$$\boldsymbol{{nice}}\:\boldsymbol{{sir}} \\ $$
Answered by Mathspace last updated on 17/Jan/24
$$={lim}_{{x}\rightarrow\mathrm{1}} \frac{{cos}\left({x}−\mathrm{1}\right)}{\mathrm{2}{x}}=\frac{{coso}}{\mathrm{2}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$${by}\:{lospital} \\ $$