I want to calculate the limit of lim x → 0 1 − cosh ⁡ ( x 5 ) x 6 sin 2 ⁡ ( x 2 )

Question

I want to calculate the limit of      lim          x      →      0                  1      −      cosh      ⁡      (              x        5            )                      x        6                    sin        2            ⁡      (              x        2            )

Ayaan Gonzalez · Accepted Answer

lim          x      →      0                  1      −      cosh      ⁡              x                    x      2        =      lim          x      →      0                  1      −                                    a            x                    +                      e                          −              x                                      2                    x      2        =      lim          x      →      0                  −      (              e        x            −      1              )        2                    2              e        x                    x        2              =  −      1    2  Thus,      lim          x      →      0                  1      −      cosh      ⁡      (              x        5            )                      x        6                    sin        2            ⁡      (              x        2            )        =  −      1    2        lim          x      →      0                  x              10                    x              10              =  −      1    2

I want to calculate the limit of <munder> <mo form="prefix">lim <mrow class="MJX-TeXA

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